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Finding the Fourth Proportional to 125.05, 187.26 and 98.14

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Solution

The fourth proportional to 125.05, 187.26 and 98.14 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.05 : 187.26 = 98.14 : x
  2. Step 2: Convert to fraction form
    125.05/187.26 = 98.14/x
  3. Step 3: Cross multiply
    125.05x = 187.26 × 98.14
  4. Step 4: Simplify right side
    125.05x = 18,377.70
  5. Step 5: Solve for x
    x = 18,377.70/125.05
  6. Step 6: Final answer
    x = 146.96

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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.