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Finding the Fourth Proportional to 76.12, 104.57 and 74.92

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Solution

The fourth proportional to 76.12, 104.57 and 74.92 is: 102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.12 : 104.57 = 74.92 : x
  2. Step 2: Convert to fraction form
    76.12/104.57 = 74.92/x
  3. Step 3: Cross multiply
    76.12x = 104.57 × 74.92
  4. Step 4: Simplify right side
    76.12x = 7,834.38
  5. Step 5: Solve for x
    x = 7,834.38/76.12
  6. Step 6: Final answer
    x = 102.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.