Finding the Fourth Proportional to 142.53, 196.50 and 116.21

Step by Step Solution

1. Step 1: Write the proportion equation
   142.53 : 196.50 = 116.21 : x
2. Step 2: Convert to fraction form
   142.53/196.50 = 116.21/x
3. Step 3: Cross multiply
   142.53x = 196.50 × 116.21
4. Step 4: Simplify right side
   142.53x = 22,834.28
5. Step 5: Solve for x
   x = 22,834.28/142.53
6. Step 6: Final answer
   x = 160.21