Question

Find the missing number in the box
in the proportion:

`16/36 = square/63 = 36/square = square/117`

Answer 1

In order to get the missing number, we consider the fact that 36 × 1.75 = 63, i.e., we get 63 when we multiply 36 by 1.75. This indicates that to get the missing number of second ratio, 16 must also be multiplied by 1.75.

When we multiply, we have, 16 × 1.75 = 28

Hence, the second ratio is `28/63`.

Similarly, to get third ratio we multiply both terms of first ratio by 2.25.

Hence, the third ratio is `36/81`.

And to get fourth ratio we multiply both terms of first ratio by 3.25.

Hence, the fourth ratio is `52/117`.

∴ \[\frac{16}{36} = \frac{\boxed{28}}{63} = \frac{36}{\boxed{81}} = \frac{\boxed{52}}{117}\]