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Finding the Fourth Proportional to 57,781.72, 86,635.17 and 38,000.29

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Solution

The fourth proportional to 57,781.72, 86,635.17 and 38,000.29 is: 56,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.72 : 86,635.17 = 38,000.29 : x
  2. Step 2: Convert to fraction form
    57,781.72/86,635.17 = 38,000.29/x
  3. Step 3: Cross multiply
    57,781.72x = 86,635.17 × 38,000.29
  4. Step 4: Simplify right side
    57,781.72x = 3,292,161,584.20
  5. Step 5: Solve for x
    x = 3,292,161,584.20/57,781.72
  6. Step 6: Final answer
    x = 56,975.83

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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.