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Finding the Fourth Proportional to 125.39, 187.68 and 82.10

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Solution

The fourth proportional to 125.39, 187.68 and 82.10 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.39 : 187.68 = 82.10 : x
  2. Step 2: Convert to fraction form
    125.39/187.68 = 82.10/x
  3. Step 3: Cross multiply
    125.39x = 187.68 × 82.10
  4. Step 4: Simplify right side
    125.39x = 15,408.53
  5. Step 5: Solve for x
    x = 15,408.53/125.39
  6. Step 6: Final answer
    x = 122.88

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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.