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Finding the Fourth Proportional to 112.49, 155.06 and 92.78

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Solution

The fourth proportional to 112.49, 155.06 and 92.78 is: 127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 155.06 = 92.78 : x
  2. Step 2: Convert to fraction form
    112.49/155.06 = 92.78/x
  3. Step 3: Cross multiply
    112.49x = 155.06 × 92.78
  4. Step 4: Simplify right side
    112.49x = 14,387.09
  5. Step 5: Solve for x
    x = 14,387.09/112.49
  6. Step 6: Final answer
    x = 127.90

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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.