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Finding the Fourth Proportional to 123,854.54, 185,723.21 and 47,988.59

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Solution

The fourth proportional to 123,854.54, 185,723.21 and 47,988.59 is: 71,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,854.54 : 185,723.21 = 47,988.59 : x
  2. Step 2: Convert to fraction form
    123,854.54/185,723.21 = 47,988.59/x
  3. Step 3: Cross multiply
    123,854.54x = 185,723.21 × 47,988.59
  4. Step 4: Simplify right side
    123,854.54x = 8,912,594,169.53
  5. Step 5: Solve for x
    x = 8,912,594,169.53/123,854.54
  6. Step 6: Final answer
    x = 71,960.18

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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.