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Finding the Fourth Proportional to 65,691.56, 98,535.66 and 18,306.44

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Solution

The fourth proportional to 65,691.56, 98,535.66 and 18,306.44 is: 27,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.56 : 98,535.66 = 18,306.44 : x
  2. Step 2: Convert to fraction form
    65,691.56/98,535.66 = 18,306.44/x
  3. Step 3: Cross multiply
    65,691.56x = 98,535.66 × 18,306.44
  4. Step 4: Simplify right side
    65,691.56x = 1,803,837,147.65
  5. Step 5: Solve for x
    x = 1,803,837,147.65/65,691.56
  6. Step 6: Final answer
    x = 27,459.19

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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.