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Finding the Fourth Proportional to 112.25, 154.81 and 87.65

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Solution

The fourth proportional to 112.25, 154.81 and 87.65 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 154.81 = 87.65 : x
  2. Step 2: Convert to fraction form
    112.25/154.81 = 87.65/x
  3. Step 3: Cross multiply
    112.25x = 154.81 × 87.65
  4. Step 4: Simplify right side
    112.25x = 13,569.01
  5. Step 5: Solve for x
    x = 13,569.01/112.25
  6. Step 6: Final answer
    x = 120.88

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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.