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Finding the Fourth Proportional to 112.38, 154.95 and 87.78

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Solution

The fourth proportional to 112.38, 154.95 and 87.78 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 154.95 = 87.78 : x
  2. Step 2: Convert to fraction form
    112.38/154.95 = 87.78/x
  3. Step 3: Cross multiply
    112.38x = 154.95 × 87.78
  4. Step 4: Simplify right side
    112.38x = 13,601.07
  5. Step 5: Solve for x
    x = 13,601.07/112.38
  6. Step 6: Final answer
    x = 121.03

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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.