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Finding the Fourth Proportional to 129,765.27, 194,676.74 and 39,820.49

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Solution

The fourth proportional to 129,765.27, 194,676.74 and 39,820.49 is: 59,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,765.27 : 194,676.74 = 39,820.49 : x
  2. Step 2: Convert to fraction form
    129,765.27/194,676.74 = 39,820.49/x
  3. Step 3: Cross multiply
    129,765.27x = 194,676.74 × 39,820.49
  4. Step 4: Simplify right side
    129,765.27x = 7,752,123,764.65
  5. Step 5: Solve for x
    x = 7,752,123,764.65/129,765.27
  6. Step 6: Final answer
    x = 59,739.59

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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.