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Finding the Fourth Proportional to 129,067.20, 193,600.80 and 105,739.20

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Solution

The fourth proportional to 129,067.20, 193,600.80 and 105,739.20 is: 158,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067.20 : 193,600.80 = 105,739.20 : x
  2. Step 2: Convert to fraction form
    129,067.20/193,600.80 = 105,739.20/x
  3. Step 3: Cross multiply
    129,067.20x = 193,600.80 × 105,739.20
  4. Step 4: Simplify right side
    129,067.20x = 20,471,193,711.36
  5. Step 5: Solve for x
    x = 20,471,193,711.36/129,067.20
  6. Step 6: Final answer
    x = 158,608.80

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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.