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Finding the Fourth Proportional to 181,892.68, 272,876.82 and 76,712.56

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Solution

The fourth proportional to 181,892.68, 272,876.82 and 76,712.56 is: 115,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,892.68 : 272,876.82 = 76,712.56 : x
  2. Step 2: Convert to fraction form
    181,892.68/272,876.82 = 76,712.56/x
  3. Step 3: Cross multiply
    181,892.68x = 272,876.82 × 76,712.56
  4. Step 4: Simplify right side
    181,892.68x = 20,933,079,426.86
  5. Step 5: Solve for x
    x = 20,933,079,426.86/181,892.68
  6. Step 6: Final answer
    x = 115,084.78

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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.