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Finding the Fourth Proportional to 144,781.92, 199,797.12 and 81,120.96

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Solution

The fourth proportional to 144,781.92, 199,797.12 and 81,120.96 is: 111,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,781.92 : 199,797.12 = 81,120.96 : x
  2. Step 2: Convert to fraction form
    144,781.92/199,797.12 = 81,120.96/x
  3. Step 3: Cross multiply
    144,781.92x = 199,797.12 × 81,120.96
  4. Step 4: Simplify right side
    144,781.92x = 16,207,734,179.64
  5. Step 5: Solve for x
    x = 16,207,734,179.64/144,781.92
  6. Step 6: Final answer
    x = 111,945.84

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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.