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Finding the Fourth Proportional to 83,751.74, 125,612.11 and 38,148.68

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Solution

The fourth proportional to 83,751.74, 125,612.11 and 38,148.68 is: 57,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.74 : 125,612.11 = 38,148.68 : x
  2. Step 2: Convert to fraction form
    83,751.74/125,612.11 = 38,148.68/x
  3. Step 3: Cross multiply
    83,751.74x = 125,612.11 × 38,148.68
  4. Step 4: Simplify right side
    83,751.74x = 4,791,936,407.17
  5. Step 5: Solve for x
    x = 4,791,936,407.17/83,751.74
  6. Step 6: Final answer
    x = 57,215.97

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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.