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Finding the Fourth Proportional to 83,657.52, 115,439.70 and 49,660.20

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Solution

The fourth proportional to 83,657.52, 115,439.70 and 49,660.20 is: 68,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.52 : 115,439.70 = 49,660.20 : x
  2. Step 2: Convert to fraction form
    83,657.52/115,439.70 = 49,660.20/x
  3. Step 3: Cross multiply
    83,657.52x = 115,439.70 × 49,660.20
  4. Step 4: Simplify right side
    83,657.52x = 5,732,758,589.94
  5. Step 5: Solve for x
    x = 5,732,758,589.94/83,657.52
  6. Step 6: Final answer
    x = 68,526.52

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1.5x scale

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.