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Finding the Fourth Proportional to 83,407.77, 125,115.40 and 27,251.31

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Solution

The fourth proportional to 83,407.77, 125,115.40 and 27,251.31 is: 40,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.77 : 125,115.40 = 27,251.31 : x
  2. Step 2: Convert to fraction form
    83,407.77/125,115.40 = 27,251.31/x
  3. Step 3: Cross multiply
    83,407.77x = 125,115.40 × 27,251.31
  4. Step 4: Simplify right side
    83,407.77x = 3,409,558,551.17
  5. Step 5: Solve for x
    x = 3,409,558,551.17/83,407.77
  6. Step 6: Final answer
    x = 40,878.19

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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.