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Finding the Fourth Proportional to 129,174.80, 193,765.88 and 35,680.56

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Solution

The fourth proportional to 129,174.80, 193,765.88 and 35,680.56 is: 53,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,174.80 : 193,765.88 = 35,680.56 : x
  2. Step 2: Convert to fraction form
    129,174.80/193,765.88 = 35,680.56/x
  3. Step 3: Cross multiply
    129,174.80x = 193,765.88 × 35,680.56
  4. Step 4: Simplify right side
    129,174.80x = 6,913,675,107.29
  5. Step 5: Solve for x
    x = 6,913,675,107.29/129,174.80
  6. Step 6: Final answer
    x = 53,521.86

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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.