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Finding the Fourth Proportional to 83,732.80, 125,890.80 and 70,902.40

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Solution

The fourth proportional to 83,732.80, 125,890.80 and 70,902.40 is: 106,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.80 : 125,890.80 = 70,902.40 : x
  2. Step 2: Convert to fraction form
    83,732.80/125,890.80 = 70,902.40/x
  3. Step 3: Cross multiply
    83,732.80x = 125,890.80 × 70,902.40
  4. Step 4: Simplify right side
    83,732.80x = 8,925,959,857.92
  5. Step 5: Solve for x
    x = 8,925,959,857.92/83,732.80
  6. Step 6: Final answer
    x = 106,600.52

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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.