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Finding the Fourth Proportional to 71,981.70, 107,972.56 and 38,655.92

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Solution

The fourth proportional to 71,981.70, 107,972.56 and 38,655.92 is: 57,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,981.70 : 107,972.56 = 38,655.92 : x
  2. Step 2: Convert to fraction form
    71,981.70/107,972.56 = 38,655.92/x
  3. Step 3: Cross multiply
    71,981.70x = 107,972.56 × 38,655.92
  4. Step 4: Simplify right side
    71,981.70x = 4,173,778,641.56
  5. Step 5: Solve for x
    x = 4,173,778,641.56/71,981.70
  6. Step 6: Final answer
    x = 57,983.89

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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.