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Finding the Fourth Proportional to 92.60, 138.97 and 74.78

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Solution

The fourth proportional to 92.60, 138.97 and 74.78 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.60 : 138.97 = 74.78 : x
  2. Step 2: Convert to fraction form
    92.60/138.97 = 74.78/x
  3. Step 3: Cross multiply
    92.60x = 138.97 × 74.78
  4. Step 4: Simplify right side
    92.60x = 10,391.82
  5. Step 5: Solve for x
    x = 10,391.82/92.60
  6. Step 6: Final answer
    x = 112.22

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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.