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Finding the Fourth Proportional to 112.38, 154.92 and 70.90

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Solution

The fourth proportional to 112.38, 154.92 and 70.90 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 154.92 = 70.90 : x
  2. Step 2: Convert to fraction form
    112.38/154.92 = 70.90/x
  3. Step 3: Cross multiply
    112.38x = 154.92 × 70.90
  4. Step 4: Simplify right side
    112.38x = 10,983.47
  5. Step 5: Solve for x
    x = 10,983.47/112.38
  6. Step 6: Final answer
    x = 97.74

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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.