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Finding the Fourth Proportional to 76.35, 113.73 and 71.69

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Solution

The fourth proportional to 76.35, 113.73 and 71.69 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.35 : 113.73 = 71.69 : x
  2. Step 2: Convert to fraction form
    76.35/113.73 = 71.69/x
  3. Step 3: Cross multiply
    76.35x = 113.73 × 71.69
  4. Step 4: Simplify right side
    76.35x = 8,153.30
  5. Step 5: Solve for x
    x = 8,153.30/76.35
  6. Step 6: Final answer
    x = 106.79

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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.