Solving an application of inverse variation

Question

The force of the Earths Gravity is inversely proportional to the square of the distance of the object being acted upon form the center of the plant.  If the package weighs 216 Ib at the surface of the 4000 miles from the center,  What will it weigh, correct to the nearest whole pound, at a distance of 500 miles above the surface?

Answer 1

sumthun wae 216 pounds on erth surfus, assumed tu be 4000 miles from senter

want wate 500 miles up

dist2=4500

gravity drop bi (1/d)^2

4500/4000=1.125

(1.125)^2=1.265625

1/(1.125)^2=0.79012345

216*0.79012345=170.6666666

or round tu 171