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Finding the Fourth Proportional to 76, 113.68 and 54.56

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Solution

The fourth proportional to 76, 113.68 and 54.56 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.68 = 54.56 : x
  2. Step 2: Convert to fraction form
    76/113.68 = 54.56/x
  3. Step 3: Cross multiply
    76x = 113.68 × 54.56
  4. Step 4: Simplify right side
    76x = 6,202.38
  5. Step 5: Solve for x
    x = 6,202.38/76
  6. Step 6: Final answer
    x = 81.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.