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Finding the Fourth Proportional to 83,470.92, 125,206.38 and 21,146.28

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Solution

The fourth proportional to 83,470.92, 125,206.38 and 21,146.28 is: 31,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.92 : 125,206.38 = 21,146.28 : x
  2. Step 2: Convert to fraction form
    83,470.92/125,206.38 = 21,146.28/x
  3. Step 3: Cross multiply
    83,470.92x = 125,206.38 × 21,146.28
  4. Step 4: Simplify right side
    83,470.92x = 2,647,649,169.27
  5. Step 5: Solve for x
    x = 2,647,649,169.27/83,470.92
  6. Step 6: Final answer
    x = 31,719.42

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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.