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Finding the Fourth Proportional to 71,387.80, 107,082.42 and 29,257.06

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Solution

The fourth proportional to 71,387.80, 107,082.42 and 29,257.06 is: 43,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,387.80 : 107,082.42 = 29,257.06 : x
  2. Step 2: Convert to fraction form
    71,387.80/107,082.42 = 29,257.06/x
  3. Step 3: Cross multiply
    71,387.80x = 107,082.42 × 29,257.06
  4. Step 4: Simplify right side
    71,387.80x = 3,132,916,786.89
  5. Step 5: Solve for x
    x = 3,132,916,786.89/71,387.80
  6. Step 6: Final answer
    x = 43,885.89

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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.