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Finding the Fourth Proportional to 47,892.71, 71,839.07 and 19,781.86

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Solution

The fourth proportional to 47,892.71, 71,839.07 and 19,781.86 is: 29,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.71 : 71,839.07 = 19,781.86 : x
  2. Step 2: Convert to fraction form
    47,892.71/71,839.07 = 19,781.86/x
  3. Step 3: Cross multiply
    47,892.71x = 71,839.07 × 19,781.86
  4. Step 4: Simplify right side
    47,892.71x = 1,421,110,425.27
  5. Step 5: Solve for x
    x = 1,421,110,425.27/47,892.71
  6. Step 6: Final answer
    x = 29,672.79

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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.