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Finding the Fourth Proportional to 129,149.42, 193,738.64 and 34,383.30

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Solution

The fourth proportional to 129,149.42, 193,738.64 and 34,383.30 is: 51,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,149.42 : 193,738.64 = 34,383.30 : x
  2. Step 2: Convert to fraction form
    129,149.42/193,738.64 = 34,383.30/x
  3. Step 3: Cross multiply
    129,149.42x = 193,738.64 × 34,383.30
  4. Step 4: Simplify right side
    129,149.42x = 6,661,372,882.28
  5. Step 5: Solve for x
    x = 6,661,372,882.28/129,149.42
  6. Step 6: Final answer
    x = 51,578.81

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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.