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Finding the Fourth Proportional to 69.65, 104.39 and 67.86

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Solution

The fourth proportional to 69.65, 104.39 and 67.86 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.65 : 104.39 = 67.86 : x
  2. Step 2: Convert to fraction form
    69.65/104.39 = 67.86/x
  3. Step 3: Cross multiply
    69.65x = 104.39 × 67.86
  4. Step 4: Simplify right side
    69.65x = 7,083.91
  5. Step 5: Solve for x
    x = 7,083.91/69.65
  6. Step 6: Final answer
    x = 101.71

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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.