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Finding the Fourth Proportional to 83,234.74, 124,864.54 and 30,640.22

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Solution

The fourth proportional to 83,234.74, 124,864.54 and 30,640.22 is: 45,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.74 : 124,864.54 = 30,640.22 : x
  2. Step 2: Convert to fraction form
    83,234.74/124,864.54 = 30,640.22/x
  3. Step 3: Cross multiply
    83,234.74x = 124,864.54 × 30,640.22
  4. Step 4: Simplify right side
    83,234.74x = 3,825,876,975.80
  5. Step 5: Solve for x
    x = 3,825,876,975.80/83,234.74
  6. Step 6: Final answer
    x = 45,964.91

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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.