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Finding the Fourth Proportional to 112.42, 155.12 and 87.82

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Solution

The fourth proportional to 112.42, 155.12 and 87.82 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.42 : 155.12 = 87.82 : x
  2. Step 2: Convert to fraction form
    112.42/155.12 = 87.82/x
  3. Step 3: Cross multiply
    112.42x = 155.12 × 87.82
  4. Step 4: Simplify right side
    112.42x = 13,621.81
  5. Step 5: Solve for x
    x = 13,621.81/112.42
  6. Step 6: Final answer
    x = 121.17

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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.