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Finding the Fourth Proportional to 111.57, 153.84 and 80.43

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Solution

The fourth proportional to 111.57, 153.84 and 80.43 is: 110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 153.84 = 80.43 : x
  2. Step 2: Convert to fraction form
    111.57/153.84 = 80.43/x
  3. Step 3: Cross multiply
    111.57x = 153.84 × 80.43
  4. Step 4: Simplify right side
    111.57x = 12,373.35
  5. Step 5: Solve for x
    x = 12,373.35/111.57
  6. Step 6: Final answer
    x = 110.90

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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.