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Finding the Fourth Proportional to 129,965.20, 195,034.20 and 73,805.20

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Solution

The fourth proportional to 129,965.20, 195,034.20 and 73,805.20 is: 110,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,965.20 : 195,034.20 = 73,805.20 : x
  2. Step 2: Convert to fraction form
    129,965.20/195,034.20 = 73,805.20/x
  3. Step 3: Cross multiply
    129,965.20x = 195,034.20 × 73,805.20
  4. Step 4: Simplify right side
    129,965.20x = 14,394,538,137.84
  5. Step 5: Solve for x
    x = 14,394,538,137.84/129,965.20
  6. Step 6: Final answer
    x = 110,756.87

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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.