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Finding the Fourth Proportional to 54,614.78, 81,921.36 and 17,678.78

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Solution

The fourth proportional to 54,614.78, 81,921.36 and 17,678.78 is: 26,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,614.78 : 81,921.36 = 17,678.78 : x
  2. Step 2: Convert to fraction form
    54,614.78/81,921.36 = 17,678.78/x
  3. Step 3: Cross multiply
    54,614.78x = 81,921.36 × 17,678.78
  4. Step 4: Simplify right side
    54,614.78x = 1,448,269,700.74
  5. Step 5: Solve for x
    x = 1,448,269,700.74/54,614.78
  6. Step 6: Final answer
    x = 26,517.91

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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.