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Finding the Fourth Proportional to 83,468.66, 125,201.85 and 20,288.60

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Solution

The fourth proportional to 83,468.66, 125,201.85 and 20,288.60 is: 30,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.66 : 125,201.85 = 20,288.60 : x
  2. Step 2: Convert to fraction form
    83,468.66/125,201.85 = 20,288.60/x
  3. Step 3: Cross multiply
    83,468.66x = 125,201.85 × 20,288.60
  4. Step 4: Simplify right side
    83,468.66x = 2,540,169,627.90
  5. Step 5: Solve for x
    x = 2,540,169,627.90/83,468.66
  6. Step 6: Final answer
    x = 30,432.62

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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.