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Finding the Fourth Proportional to 54,439.92, 81,608.04 and 17,478

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Solution

The fourth proportional to 54,439.92, 81,608.04 and 17,478 is: 26,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,439.92 : 81,608.04 = 17,478 : x
  2. Step 2: Convert to fraction form
    54,439.92/81,608.04 = 17,478/x
  3. Step 3: Cross multiply
    54,439.92x = 81,608.04 × 17,478
  4. Step 4: Simplify right side
    54,439.92x = 1,426,345,323.12
  5. Step 5: Solve for x
    x = 1,426,345,323.12/54,439.92
  6. Step 6: Final answer
    x = 26,200.36

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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.