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Finding the Fourth Proportional to 71,416.90, 107,082.15 and 31,966.66

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Solution

The fourth proportional to 71,416.90, 107,082.15 and 31,966.66 is: 47,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,416.90 : 107,082.15 = 31,966.66 : x
  2. Step 2: Convert to fraction form
    71,416.90/107,082.15 = 31,966.66/x
  3. Step 3: Cross multiply
    71,416.90x = 107,082.15 × 31,966.66
  4. Step 4: Simplify right side
    71,416.90x = 3,423,058,681.12
  5. Step 5: Solve for x
    x = 3,423,058,681.12/71,416.90
  6. Step 6: Final answer
    x = 47,930.65

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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.