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Finding the Fourth Proportional to 71,420.32, 107,115.90 and 27,031.78

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Solution

The fourth proportional to 71,420.32, 107,115.90 and 27,031.78 is: 40,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,420.32 : 107,115.90 = 27,031.78 : x
  2. Step 2: Convert to fraction form
    71,420.32/107,115.90 = 27,031.78/x
  3. Step 3: Cross multiply
    71,420.32x = 107,115.90 × 27,031.78
  4. Step 4: Simplify right side
    71,420.32x = 2,895,533,443.30
  5. Step 5: Solve for x
    x = 2,895,533,443.30/71,420.32
  6. Step 6: Final answer
    x = 40,542.15

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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.