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Finding the Fourth Proportional to 92.46, 127.65 and 72.75

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Solution

The fourth proportional to 92.46, 127.65 and 72.75 is: 100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 127.65 = 72.75 : x
  2. Step 2: Convert to fraction form
    92.46/127.65 = 72.75/x
  3. Step 3: Cross multiply
    92.46x = 127.65 × 72.75
  4. Step 4: Simplify right side
    92.46x = 9,286.54
  5. Step 5: Solve for x
    x = 9,286.54/92.46
  6. Step 6: Final answer
    x = 100.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.