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Finding the Fourth Proportional to 128,448, 177,367.68 and 80,781.12

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Solution

The fourth proportional to 128,448, 177,367.68 and 80,781.12 is: 111,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,448 : 177,367.68 = 80,781.12 : x
  2. Step 2: Convert to fraction form
    128,448/177,367.68 = 80,781.12/x
  3. Step 3: Cross multiply
    128,448x = 177,367.68 × 80,781.12
  4. Step 4: Simplify right side
    128,448x = 14,327,959,842.20
  5. Step 5: Solve for x
    x = 14,327,959,842.20/128,448
  6. Step 6: Final answer
    x = 111,546.77

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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.