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Finding the Fourth Proportional to 112.17, 154.35 and 101.82

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Solution

The fourth proportional to 112.17, 154.35 and 101.82 is: 140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 154.35 = 101.82 : x
  2. Step 2: Convert to fraction form
    112.17/154.35 = 101.82/x
  3. Step 3: Cross multiply
    112.17x = 154.35 × 101.82
  4. Step 4: Simplify right side
    112.17x = 15,715.92
  5. Step 5: Solve for x
    x = 15,715.92/112.17
  6. Step 6: Final answer
    x = 140.11

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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.