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Finding the Fourth Proportional to 125.75, 189.57 and 119.13

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Solution

The fourth proportional to 125.75, 189.57 and 119.13 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 189.57 = 119.13 : x
  2. Step 2: Convert to fraction form
    125.75/189.57 = 119.13/x
  3. Step 3: Cross multiply
    125.75x = 189.57 × 119.13
  4. Step 4: Simplify right side
    125.75x = 22,583.47
  5. Step 5: Solve for x
    x = 22,583.47/125.75
  6. Step 6: Final answer
    x = 179.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.