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Finding the Fourth Proportional to 83,432, 115,118.24 and 49,451.12

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Solution

The fourth proportional to 83,432, 115,118.24 and 49,451.12 is: 68,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,432 : 115,118.24 = 49,451.12 : x
  2. Step 2: Convert to fraction form
    83,432/115,118.24 = 49,451.12/x
  3. Step 3: Cross multiply
    83,432x = 115,118.24 × 49,451.12
  4. Step 4: Simplify right side
    83,432x = 5,692,725,900.43
  5. Step 5: Solve for x
    x = 5,692,725,900.43/83,432
  6. Step 6: Final answer
    x = 68,231.92

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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.