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Finding the Fourth Proportional to 54,706.74, 82,027.28 and 21,387.09

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Solution

The fourth proportional to 54,706.74, 82,027.28 and 21,387.09 is: 32,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.74 : 82,027.28 = 21,387.09 : x
  2. Step 2: Convert to fraction form
    54,706.74/82,027.28 = 21,387.09/x
  3. Step 3: Cross multiply
    54,706.74x = 82,027.28 × 21,387.09
  4. Step 4: Simplify right side
    54,706.74x = 1,754,324,719.48
  5. Step 5: Solve for x
    x = 1,754,324,719.48/54,706.74
  6. Step 6: Final answer
    x = 32,067.80

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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.