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Finding the Fourth Proportional to 83,810.74, 125,689.42 and 27,640.35

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Solution

The fourth proportional to 83,810.74, 125,689.42 and 27,640.35 is: 41,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,810.74 : 125,689.42 = 27,640.35 : x
  2. Step 2: Convert to fraction form
    83,810.74/125,689.42 = 27,640.35/x
  3. Step 3: Cross multiply
    83,810.74x = 125,689.42 × 27,640.35
  4. Step 4: Simplify right side
    83,810.74x = 3,474,099,560.10
  5. Step 5: Solve for x
    x = 3,474,099,560.10/83,810.74
  6. Step 6: Final answer
    x = 41,451.72

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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.