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Finding the Fourth Proportional to 125.35, 186.89 and 122.15

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Solution

The fourth proportional to 125.35, 186.89 and 122.15 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 186.89 = 122.15 : x
  2. Step 2: Convert to fraction form
    125.35/186.89 = 122.15/x
  3. Step 3: Cross multiply
    125.35x = 186.89 × 122.15
  4. Step 4: Simplify right side
    125.35x = 22,828.61
  5. Step 5: Solve for x
    x = 22,828.61/125.35
  6. Step 6: Final answer
    x = 182.12

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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.