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Finding the Fourth Proportional to 125.17, 187.76 and 76.97

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Solution

The fourth proportional to 125.17, 187.76 and 76.97 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.17 : 187.76 = 76.97 : x
  2. Step 2: Convert to fraction form
    125.17/187.76 = 76.97/x
  3. Step 3: Cross multiply
    125.17x = 187.76 × 76.97
  4. Step 4: Simplify right side
    125.17x = 14,451.97
  5. Step 5: Solve for x
    x = 14,451.97/125.17
  6. Step 6: Final answer
    x = 115.46

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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.