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Finding the Fourth Proportional to 107.14, 161.27 and 76.92

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Solution

The fourth proportional to 107.14, 161.27 and 76.92 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 161.27 = 76.92 : x
  2. Step 2: Convert to fraction form
    107.14/161.27 = 76.92/x
  3. Step 3: Cross multiply
    107.14x = 161.27 × 76.92
  4. Step 4: Simplify right side
    107.14x = 12,404.89
  5. Step 5: Solve for x
    x = 12,404.89/107.14
  6. Step 6: Final answer
    x = 115.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.