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Finding the Fourth Proportional to 71,729, 107,610.78 and 22,481

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Solution

The fourth proportional to 71,729, 107,610.78 and 22,481 is: 33,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,729 : 107,610.78 = 22,481 : x
  2. Step 2: Convert to fraction form
    71,729/107,610.78 = 22,481/x
  3. Step 3: Cross multiply
    71,729x = 107,610.78 × 22,481
  4. Step 4: Simplify right side
    71,729x = 2,419,197,945.18
  5. Step 5: Solve for x
    x = 2,419,197,945.18/71,729
  6. Step 6: Final answer
    x = 33,726.92

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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.