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Finding the Fourth Proportional to 125.82, 187.38 and 116.91

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Solution

The fourth proportional to 125.82, 187.38 and 116.91 is: 174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 187.38 = 116.91 : x
  2. Step 2: Convert to fraction form
    125.82/187.38 = 116.91/x
  3. Step 3: Cross multiply
    125.82x = 187.38 × 116.91
  4. Step 4: Simplify right side
    125.82x = 21,906.60
  5. Step 5: Solve for x
    x = 21,906.60/125.82
  6. Step 6: Final answer
    x = 174.11

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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.