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Finding the Fourth Proportional to 71,931.30, 107,909.92 and 22,010.46

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Solution

The fourth proportional to 71,931.30, 107,909.92 and 22,010.46 is: 33,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.30 : 107,909.92 = 22,010.46 : x
  2. Step 2: Convert to fraction form
    71,931.30/107,909.92 = 22,010.46/x
  3. Step 3: Cross multiply
    71,931.30x = 107,909.92 × 22,010.46
  4. Step 4: Simplify right side
    71,931.30x = 2,375,146,977.76
  5. Step 5: Solve for x
    x = 2,375,146,977.76/71,931.30
  6. Step 6: Final answer
    x = 33,019.66

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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.