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Finding the Fourth Proportional to 83,988, 126,001.44 and 28,584

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Solution

The fourth proportional to 83,988, 126,001.44 and 28,584 is: 42,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,988 : 126,001.44 = 28,584 : x
  2. Step 2: Convert to fraction form
    83,988/126,001.44 = 28,584/x
  3. Step 3: Cross multiply
    83,988x = 126,001.44 × 28,584
  4. Step 4: Simplify right side
    83,988x = 3,601,625,160.96
  5. Step 5: Solve for x
    x = 3,601,625,160.96/83,988
  6. Step 6: Final answer
    x = 42,882.62

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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.