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Finding the Fourth Proportional to 83,287.50, 114,992.20 and 49,306.92

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Solution

The fourth proportional to 83,287.50, 114,992.20 and 49,306.92 is: 68,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.50 : 114,992.20 = 49,306.92 : x
  2. Step 2: Convert to fraction form
    83,287.50/114,992.20 = 49,306.92/x
  3. Step 3: Cross multiply
    83,287.50x = 114,992.20 × 49,306.92
  4. Step 4: Simplify right side
    83,287.50x = 5,669,911,206.02
  5. Step 5: Solve for x
    x = 5,669,911,206.02/83,287.50
  6. Step 6: Final answer
    x = 68,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.