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Finding the Fourth Proportional to 144,133.92, 198,891.72 and 80,460

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Solution

The fourth proportional to 144,133.92, 198,891.72 and 80,460 is: 111,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,133.92 : 198,891.72 = 80,460 : x
  2. Step 2: Convert to fraction form
    144,133.92/198,891.72 = 80,460/x
  3. Step 3: Cross multiply
    144,133.92x = 198,891.72 × 80,460
  4. Step 4: Simplify right side
    144,133.92x = 16,002,827,791.20
  5. Step 5: Solve for x
    x = 16,002,827,791.20/144,133.92
  6. Step 6: Final answer
    x = 111,027.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.