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Finding the Fourth Proportional to 83,871.52, 125,815.20 and 27,712

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Solution

The fourth proportional to 83,871.52, 125,815.20 and 27,712 is: 41,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,871.52 : 125,815.20 = 27,712 : x
  2. Step 2: Convert to fraction form
    83,871.52/125,815.20 = 27,712/x
  3. Step 3: Cross multiply
    83,871.52x = 125,815.20 × 27,712
  4. Step 4: Simplify right side
    83,871.52x = 3,486,590,822.40
  5. Step 5: Solve for x
    x = 3,486,590,822.40/83,871.52
  6. Step 6: Final answer
    x = 41,570.62

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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.