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Finding the Fourth Proportional to 125.31, 187.79 and 106.92

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Solution

The fourth proportional to 125.31, 187.79 and 106.92 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.31 : 187.79 = 106.92 : x
  2. Step 2: Convert to fraction form
    125.31/187.79 = 106.92/x
  3. Step 3: Cross multiply
    125.31x = 187.79 × 106.92
  4. Step 4: Simplify right side
    125.31x = 20,077.97
  5. Step 5: Solve for x
    x = 20,077.97/125.31
  6. Step 6: Final answer
    x = 160.23

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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.