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Finding the Fourth Proportional to 112.38, 155.03 and 81.38

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Solution

The fourth proportional to 112.38, 155.03 and 81.38 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 155.03 = 81.38 : x
  2. Step 2: Convert to fraction form
    112.38/155.03 = 81.38/x
  3. Step 3: Cross multiply
    112.38x = 155.03 × 81.38
  4. Step 4: Simplify right side
    112.38x = 12,615.16
  5. Step 5: Solve for x
    x = 12,615.16/112.38
  6. Step 6: Final answer
    x = 112.25

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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.