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Finding the Fourth Proportional to 83,541.68, 125,424.84 and 82,660.40

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Solution

The fourth proportional to 83,541.68, 125,424.84 and 82,660.40 is: 124,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541.68 : 125,424.84 = 82,660.40 : x
  2. Step 2: Convert to fraction form
    83,541.68/125,424.84 = 82,660.40/x
  3. Step 3: Cross multiply
    83,541.68x = 125,424.84 × 82,660.40
  4. Step 4: Simplify right side
    83,541.68x = 10,367,667,444.34
  5. Step 5: Solve for x
    x = 10,367,667,444.34/83,541.68
  6. Step 6: Final answer
    x = 124,101.74

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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.