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Finding the Fourth Proportional to 71,420.68, 107,145.96 and 27,046.42

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Solution

The fourth proportional to 71,420.68, 107,145.96 and 27,046.42 is: 40,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,420.68 : 107,145.96 = 27,046.42 : x
  2. Step 2: Convert to fraction form
    71,420.68/107,145.96 = 27,046.42/x
  3. Step 3: Cross multiply
    71,420.68x = 107,145.96 × 27,046.42
  4. Step 4: Simplify right side
    71,420.68x = 2,897,914,635.46
  5. Step 5: Solve for x
    x = 2,897,914,635.46/71,420.68
  6. Step 6: Final answer
    x = 40,575.29

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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.