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Finding the Fourth Proportional to 129,380.76, 178,543.62 and 72,792

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Solution

The fourth proportional to 129,380.76, 178,543.62 and 72,792 is: 100,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,380.76 : 178,543.62 = 72,792 : x
  2. Step 2: Convert to fraction form
    129,380.76/178,543.62 = 72,792/x
  3. Step 3: Cross multiply
    129,380.76x = 178,543.62 × 72,792
  4. Step 4: Simplify right side
    129,380.76x = 12,996,547,187.04
  5. Step 5: Solve for x
    x = 12,996,547,187.04/129,380.76
  6. Step 6: Final answer
    x = 100,451.93

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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.