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Finding the Fourth Proportional to 111.61, 153.87 and 82.57

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Solution

The fourth proportional to 111.61, 153.87 and 82.57 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 153.87 = 82.57 : x
  2. Step 2: Convert to fraction form
    111.61/153.87 = 82.57/x
  3. Step 3: Cross multiply
    111.61x = 153.87 × 82.57
  4. Step 4: Simplify right side
    111.61x = 12,705.05
  5. Step 5: Solve for x
    x = 12,705.05/111.61
  6. Step 6: Final answer
    x = 113.83

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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.