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Finding the Fourth Proportional to 69,144.70, 103,691.13 and 29,681.50

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Solution

The fourth proportional to 69,144.70, 103,691.13 and 29,681.50 is: 44,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144.70 : 103,691.13 = 29,681.50 : x
  2. Step 2: Convert to fraction form
    69,144.70/103,691.13 = 29,681.50/x
  3. Step 3: Cross multiply
    69,144.70x = 103,691.13 × 29,681.50
  4. Step 4: Simplify right side
    69,144.70x = 3,077,708,275.10
  5. Step 5: Solve for x
    x = 3,077,708,275.10/69,144.70
  6. Step 6: Final answer
    x = 44,511.12

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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.