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Finding the Fourth Proportional to 129,194.48, 193,989 and 107,149.52

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Solution

The fourth proportional to 129,194.48, 193,989 and 107,149.52 is: 160,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,194.48 : 193,989 = 107,149.52 : x
  2. Step 2: Convert to fraction form
    129,194.48/193,989 = 107,149.52/x
  3. Step 3: Cross multiply
    129,194.48x = 193,989 × 107,149.52
  4. Step 4: Simplify right side
    129,194.48x = 20,785,828,235.28
  5. Step 5: Solve for x
    x = 20,785,828,235.28/129,194.48
  6. Step 6: Final answer
    x = 160,887.90

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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.