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Finding the Fourth Proportional to 125.11, 186.65 and 119.31

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Solution

The fourth proportional to 125.11, 186.65 and 119.31 is: 178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.11 : 186.65 = 119.31 : x
  2. Step 2: Convert to fraction form
    125.11/186.65 = 119.31/x
  3. Step 3: Cross multiply
    125.11x = 186.65 × 119.31
  4. Step 4: Simplify right side
    125.11x = 22,269.21
  5. Step 5: Solve for x
    x = 22,269.21/125.11
  6. Step 6: Final answer
    x = 178.00

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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.