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Finding the Fourth Proportional to 84,474.92, 127,016.18 and 77,891.87

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Solution

The fourth proportional to 84,474.92, 127,016.18 and 77,891.87 is: 117,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474.92 : 127,016.18 = 77,891.87 : x
  2. Step 2: Convert to fraction form
    84,474.92/127,016.18 = 77,891.87/x
  3. Step 3: Cross multiply
    84,474.92x = 127,016.18 × 77,891.87
  4. Step 4: Simplify right side
    84,474.92x = 9,893,526,755.92
  5. Step 5: Solve for x
    x = 9,893,526,755.92/84,474.92
  6. Step 6: Final answer
    x = 117,117.92

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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.