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Finding the Fourth Proportional to 125.94, 187.89 and 119.10

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Solution

The fourth proportional to 125.94, 187.89 and 119.10 is: 177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 187.89 = 119.10 : x
  2. Step 2: Convert to fraction form
    125.94/187.89 = 119.10/x
  3. Step 3: Cross multiply
    125.94x = 187.89 × 119.10
  4. Step 4: Simplify right side
    125.94x = 22,377.70
  5. Step 5: Solve for x
    x = 22,377.70/125.94
  6. Step 6: Final answer
    x = 177.69

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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.