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Finding the Fourth Proportional to 125.78, 173.57 and 76.64

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Solution

The fourth proportional to 125.78, 173.57 and 76.64 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 173.57 = 76.64 : x
  2. Step 2: Convert to fraction form
    125.78/173.57 = 76.64/x
  3. Step 3: Cross multiply
    125.78x = 173.57 × 76.64
  4. Step 4: Simplify right side
    125.78x = 13,301.15
  5. Step 5: Solve for x
    x = 13,301.15/125.78
  6. Step 6: Final answer
    x = 105.75

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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.