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Finding the Fourth Proportional to 54,620.38, 81,979.38 and 27,984.50

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Solution

The fourth proportional to 54,620.38, 81,979.38 and 27,984.50 is: 42,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,620.38 : 81,979.38 = 27,984.50 : x
  2. Step 2: Convert to fraction form
    54,620.38/81,979.38 = 27,984.50/x
  3. Step 3: Cross multiply
    54,620.38x = 81,979.38 × 27,984.50
  4. Step 4: Simplify right side
    54,620.38x = 2,294,151,959.61
  5. Step 5: Solve for x
    x = 2,294,151,959.61/54,620.38
  6. Step 6: Final answer
    x = 42,001.76

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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.