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Finding the Fourth Proportional to 83,843.70, 125,778.06 and 27,689.76

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Solution

The fourth proportional to 83,843.70, 125,778.06 and 27,689.76 is: 41,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.70 : 125,778.06 = 27,689.76 : x
  2. Step 2: Convert to fraction form
    83,843.70/125,778.06 = 27,689.76/x
  3. Step 3: Cross multiply
    83,843.70x = 125,778.06 × 27,689.76
  4. Step 4: Simplify right side
    83,843.70x = 3,482,764,294.67
  5. Step 5: Solve for x
    x = 3,482,764,294.67/83,843.70
  6. Step 6: Final answer
    x = 41,538.77

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1.5x scale

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.