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Finding the Fourth Proportional to 123,616.47, 185,432.54 and 47,751.20

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Solution

The fourth proportional to 123,616.47, 185,432.54 and 47,751.20 is: 71,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616.47 : 185,432.54 = 47,751.20 : x
  2. Step 2: Convert to fraction form
    123,616.47/185,432.54 = 47,751.20/x
  3. Step 3: Cross multiply
    123,616.47x = 185,432.54 × 47,751.20
  4. Step 4: Simplify right side
    123,616.47x = 8,854,626,304.05
  5. Step 5: Solve for x
    x = 8,854,626,304.05/123,616.47
  6. Step 6: Final answer
    x = 71,629.83

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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.