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Finding the Fourth Proportional to 54,754.97, 82,141.34 and 21,456.98

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Solution

The fourth proportional to 54,754.97, 82,141.34 and 21,456.98 is: 32,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754.97 : 82,141.34 = 21,456.98 : x
  2. Step 2: Convert to fraction form
    54,754.97/82,141.34 = 21,456.98/x
  3. Step 3: Cross multiply
    54,754.97x = 82,141.34 × 21,456.98
  4. Step 4: Simplify right side
    54,754.97x = 1,762,505,187.62
  5. Step 5: Solve for x
    x = 1,762,505,187.62/54,754.97
  6. Step 6: Final answer
    x = 32,188.95

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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.