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Finding the Fourth Proportional to 180,004.92, 269,753.80 and 137,721.28

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Solution

The fourth proportional to 180,004.92, 269,753.80 and 137,721.28 is: 206,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,004.92 : 269,753.80 = 137,721.28 : x
  2. Step 2: Convert to fraction form
    180,004.92/269,753.80 = 137,721.28/x
  3. Step 3: Cross multiply
    180,004.92x = 269,753.80 × 137,721.28
  4. Step 4: Simplify right side
    180,004.92x = 37,150,838,620.86
  5. Step 5: Solve for x
    x = 37,150,838,620.86/180,004.92
  6. Step 6: Final answer
    x = 206,387.91

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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.