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Finding the Fourth Proportional to 54,694.82, 82,009.40 and 21,375.16

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Solution

The fourth proportional to 54,694.82, 82,009.40 and 21,375.16 is: 32,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.82 : 82,009.40 = 21,375.16 : x
  2. Step 2: Convert to fraction form
    54,694.82/82,009.40 = 21,375.16/x
  3. Step 3: Cross multiply
    54,694.82x = 82,009.40 × 21,375.16
  4. Step 4: Simplify right side
    54,694.82x = 1,752,964,046.50
  5. Step 5: Solve for x
    x = 1,752,964,046.50/54,694.82
  6. Step 6: Final answer
    x = 32,049.91

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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.