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Finding the Fourth Proportional to 83,888.48, 125,882.97 and 31,334.90

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Solution

The fourth proportional to 83,888.48, 125,882.97 and 31,334.90 is: 47,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.48 : 125,882.97 = 31,334.90 : x
  2. Step 2: Convert to fraction form
    83,888.48/125,882.97 = 31,334.90/x
  3. Step 3: Cross multiply
    83,888.48x = 125,882.97 × 31,334.90
  4. Step 4: Simplify right side
    83,888.48x = 3,944,530,276.65
  5. Step 5: Solve for x
    x = 3,944,530,276.65/83,888.48
  6. Step 6: Final answer
    x = 47,021.12

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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.