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Finding the Fourth Proportional to 71,158.40, 106,721.87 and 20,546.43

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Solution

The fourth proportional to 71,158.40, 106,721.87 and 20,546.43 is: 30,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.40 : 106,721.87 = 20,546.43 : x
  2. Step 2: Convert to fraction form
    71,158.40/106,721.87 = 20,546.43/x
  3. Step 3: Cross multiply
    71,158.40x = 106,721.87 × 20,546.43
  4. Step 4: Simplify right side
    71,158.40x = 2,192,753,431.42
  5. Step 5: Solve for x
    x = 2,192,753,431.42/71,158.40
  6. Step 6: Final answer
    x = 30,815.10

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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.