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Finding the Fourth Proportional to 83,875.53, 115,761.65 and 49,425.87

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Solution

The fourth proportional to 83,875.53, 115,761.65 and 49,425.87 is: 68,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,875.53 : 115,761.65 = 49,425.87 : x
  2. Step 2: Convert to fraction form
    83,875.53/115,761.65 = 49,425.87/x
  3. Step 3: Cross multiply
    83,875.53x = 115,761.65 × 49,425.87
  4. Step 4: Simplify right side
    83,875.53x = 5,721,620,016.76
  5. Step 5: Solve for x
    x = 5,721,620,016.76/83,875.53
  6. Step 6: Final answer
    x = 68,215.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.