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Finding the Fourth Proportional to 81,974.76, 112,387.82 and 80,480.32

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Solution

The fourth proportional to 81,974.76, 112,387.82 and 80,480.32 is: 110,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974.76 : 112,387.82 = 80,480.32 : x
  2. Step 2: Convert to fraction form
    81,974.76/112,387.82 = 80,480.32/x
  3. Step 3: Cross multiply
    81,974.76x = 112,387.82 × 80,480.32
  4. Step 4: Simplify right side
    81,974.76x = 9,045,007,717.70
  5. Step 5: Solve for x
    x = 9,045,007,717.70/81,974.76
  6. Step 6: Final answer
    x = 110,338.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.