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Finding the Fourth Proportional to 71,734, 107,618.28 and 22,486

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Solution

The fourth proportional to 71,734, 107,618.28 and 22,486 is: 33,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734 : 107,618.28 = 22,486 : x
  2. Step 2: Convert to fraction form
    71,734/107,618.28 = 22,486/x
  3. Step 3: Cross multiply
    71,734x = 107,618.28 × 22,486
  4. Step 4: Simplify right side
    71,734x = 2,419,904,644.08
  5. Step 5: Solve for x
    x = 2,419,904,644.08/71,734
  6. Step 6: Final answer
    x = 33,734.42

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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.