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Finding the Fourth Proportional to 71,730, 107,612.28 and 22,482

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Solution

The fourth proportional to 71,730, 107,612.28 and 22,482 is: 33,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730 : 107,612.28 = 22,482 : x
  2. Step 2: Convert to fraction form
    71,730/107,612.28 = 22,482/x
  3. Step 3: Cross multiply
    71,730x = 107,612.28 × 22,482
  4. Step 4: Simplify right side
    71,730x = 2,419,339,278.96
  5. Step 5: Solve for x
    x = 2,419,339,278.96/71,730
  6. Step 6: Final answer
    x = 33,728.42

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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.