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Finding the Fourth Proportional to 125.75, 187.58 and 111.17

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Solution

The fourth proportional to 125.75, 187.58 and 111.17 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 187.58 = 111.17 : x
  2. Step 2: Convert to fraction form
    125.75/187.58 = 111.17/x
  3. Step 3: Cross multiply
    125.75x = 187.58 × 111.17
  4. Step 4: Simplify right side
    125.75x = 20,854.02
  5. Step 5: Solve for x
    x = 20,854.02/125.75
  6. Step 6: Final answer
    x = 165.83

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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.