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Finding the Fourth Proportional to 71,753.45, 107,654.37 and 31,766.91

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Solution

The fourth proportional to 71,753.45, 107,654.37 and 31,766.91 is: 47,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753.45 : 107,654.37 = 31,766.91 : x
  2. Step 2: Convert to fraction form
    71,753.45/107,654.37 = 31,766.91/x
  3. Step 3: Cross multiply
    71,753.45x = 107,654.37 × 31,766.91
  4. Step 4: Simplify right side
    71,753.45x = 3,419,846,682.90
  5. Step 5: Solve for x
    x = 3,419,846,682.90/71,753.45
  6. Step 6: Final answer
    x = 47,661.08

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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.