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Finding the Fourth Proportional to 125.13, 186.62 and 118.14

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Solution

The fourth proportional to 125.13, 186.62 and 118.14 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.13 : 186.62 = 118.14 : x
  2. Step 2: Convert to fraction form
    125.13/186.62 = 118.14/x
  3. Step 3: Cross multiply
    125.13x = 186.62 × 118.14
  4. Step 4: Simplify right side
    125.13x = 22,046.70
  5. Step 5: Solve for x
    x = 22,046.70/125.13
  6. Step 6: Final answer
    x = 176.19

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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.