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Finding the Fourth Proportional to 83,478, 125,217 and 28,074

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Solution

The fourth proportional to 83,478, 125,217 and 28,074 is: 42,111

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478 : 125,217 = 28,074 : x
  2. Step 2: Convert to fraction form
    83,478/125,217 = 28,074/x
  3. Step 3: Cross multiply
    83,478x = 125,217 × 28,074
  4. Step 4: Simplify right side
    83,478x = 3,515,342,058
  5. Step 5: Solve for x
    x = 3,515,342,058/83,478
  6. Step 6: Final answer
    x = 42,111

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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.