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Finding the Fourth Proportional to 65,129.85, 97,691.78 and 27,163.44

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Solution

The fourth proportional to 65,129.85, 97,691.78 and 27,163.44 is: 40,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.85 : 97,691.78 = 27,163.44 : x
  2. Step 2: Convert to fraction form
    65,129.85/97,691.78 = 27,163.44/x
  3. Step 3: Cross multiply
    65,129.85x = 97,691.78 × 27,163.44
  4. Step 4: Simplify right side
    65,129.85x = 2,653,644,668.71
  5. Step 5: Solve for x
    x = 2,653,644,668.71/65,129.85
  6. Step 6: Final answer
    x = 40,743.91

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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.