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Finding the Fourth Proportional to 76.34, 113.97 and 71.75

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Solution

The fourth proportional to 76.34, 113.97 and 71.75 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 113.97 = 71.75 : x
  2. Step 2: Convert to fraction form
    76.34/113.97 = 71.75/x
  3. Step 3: Cross multiply
    76.34x = 113.97 × 71.75
  4. Step 4: Simplify right side
    76.34x = 8,176.78
  5. Step 5: Solve for x
    x = 8,176.78/76.34
  6. Step 6: Final answer
    x = 107.12

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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.