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Finding the Fourth Proportional to 125.78, 173.59 and 76.65

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Solution

The fourth proportional to 125.78, 173.59 and 76.65 is: 105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 173.59 = 76.65 : x
  2. Step 2: Convert to fraction form
    125.78/173.59 = 76.65/x
  3. Step 3: Cross multiply
    125.78x = 173.59 × 76.65
  4. Step 4: Simplify right side
    125.78x = 13,306.24
  5. Step 5: Solve for x
    x = 13,306.24/125.78
  6. Step 6: Final answer
    x = 105.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.