Finding the Fourth Proportional to 142.50, 196.49 and 121.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 196.49 = 121.50 : x
2. Step 2: Convert to fraction form
   142.50/196.49 = 121.50/x
3. Step 3: Cross multiply
   142.50x = 196.49 × 121.50
4. Step 4: Simplify right side
   142.50x = 23,872.19
5. Step 5: Solve for x
   x = 23,872.19/142.50
6. Step 6: Final answer
   x = 167.52