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Finding the Fourth Proportional to 125, 186.07 and 119.10

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Solution

The fourth proportional to 125, 186.07 and 119.10 is: 177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 186.07 = 119.10 : x
  2. Step 2: Convert to fraction form
    125/186.07 = 119.10/x
  3. Step 3: Cross multiply
    125x = 186.07 × 119.10
  4. Step 4: Simplify right side
    125x = 22,160.94
  5. Step 5: Solve for x
    x = 22,160.94/125
  6. Step 6: Final answer
    x = 177.29

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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.