Kaʕaba does not represent golden ratio

Some muslims believe that the ratio between the distances from South Pole to Kaʕaba and from North Pole to Kaʕaba is golden, but is that certain?

To calculate that ratio we have to divide by the number of latitude units south of the Kaʕaba and the number of latitude units north of the Kaʕaba.

Distance from South Pole to Kaʕaba/Distance from North Pole to Kaʕaba=Golden ratio?

The number of latitude units south of the kaaba is the 90 latitude units of the Southern Hemisphere plus the Kaʕaba latitude.

And the number of latitude units north of the kaaba is the 90 latitude units of the Northern Hemisphere minus the Kaʕaba latitude:

(90+x)/(90-x)=φ?

Then we need to find the Kaʕaba latitude, which is 21.4225°N¹.

Now we can calculate the ratio and the result is:

(90+21,4225)/(90-21,4225)≅1,624768≠φ≅1,618034

So the result is not the golden ratio. The result is ≅0,006734 units higher than golden ratio.

So if Kaʕaba latitude is not golden ratio latitude, what's the golden ratio latitude?

We need to equalize the previous equation to golden ratio and solve the golden ratio latitude:

(90+y)/(90-y)=φ≅1,618034;
90+y≅1,618034(90-y);
90+y≅145,62306-1,618034y;
2,618034y≅55,62306;

y≅55,62306/2,618034≅21,246118°

The golden ratio latitude is 21,246118°N.

And what would be the distance between both latitudes?
We find calculating the differences of both latitudes by the half of the polar circumference, which are 20003,93 km,² divided by the number of latitude units, which are 180:

(Kaʕaba latitude-Golden ratio latitude)(half of the polar circumference/number of latitude units)=latitude distances;

(21,4225-21,246118)(20003,93/180)≅19,6 km

The golden ratio latitude would be 19,6 km south of Kaʕaba latitude.

The ratio of those distances may be similar to golden ratio, but is not golden ratio.

REFERENCES
1. http://en.wikipedia.org/wiki/Kaaba
2. The polar circumference is 40007,86 km, so the half of this one is 20003,93 km: http://home.online.no/~sigurdhu/WGS84_Eng.html