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Finding the Fourth Proportional to 125.67, 187.56 and 122.43

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Solution

The fourth proportional to 125.67, 187.56 and 122.43 is: 182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.67 : 187.56 = 122.43 : x
  2. Step 2: Convert to fraction form
    125.67/187.56 = 122.43/x
  3. Step 3: Cross multiply
    125.67x = 187.56 × 122.43
  4. Step 4: Simplify right side
    125.67x = 22,963.67
  5. Step 5: Solve for x
    x = 22,963.67/125.67
  6. Step 6: Final answer
    x = 182.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.