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Finding the Fourth Proportional to 157,232, 235,912.32 and 68,439.68

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Solution

The fourth proportional to 157,232, 235,912.32 and 68,439.68 is: 102,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232 : 235,912.32 = 68,439.68 : x
  2. Step 2: Convert to fraction form
    157,232/235,912.32 = 68,439.68/x
  3. Step 3: Cross multiply
    157,232x = 235,912.32 × 68,439.68
  4. Step 4: Simplify right side
    157,232x = 16,145,763,688.86
  5. Step 5: Solve for x
    x = 16,145,763,688.86/157,232
  6. Step 6: Final answer
    x = 102,687.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.