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Finding the Fourth Proportional to 83,470.88, 125,210.88 and 21,141.92

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Solution

The fourth proportional to 83,470.88, 125,210.88 and 21,141.92 is: 31,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.88 : 125,210.88 = 21,141.92 : x
  2. Step 2: Convert to fraction form
    83,470.88/125,210.88 = 21,141.92/x
  3. Step 3: Cross multiply
    83,470.88x = 125,210.88 × 21,141.92
  4. Step 4: Simplify right side
    83,470.88x = 2,647,198,408.09
  5. Step 5: Solve for x
    x = 2,647,198,408.09/83,470.88
  6. Step 6: Final answer
    x = 31,714.03

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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.