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Finding the Fourth Proportional to 129,380.92, 178,543.84 and 72,792.16

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Solution

The fourth proportional to 129,380.92, 178,543.84 and 72,792.16 is: 100,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,380.92 : 178,543.84 = 72,792.16 : x
  2. Step 2: Convert to fraction form
    129,380.92/178,543.84 = 72,792.16/x
  3. Step 3: Cross multiply
    129,380.92x = 178,543.84 × 72,792.16
  4. Step 4: Simplify right side
    129,380.92x = 12,996,590,780.29
  5. Step 5: Solve for x
    x = 12,996,590,780.29/129,380.92
  6. Step 6: Final answer
    x = 100,452.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.