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Finding the Fourth Proportional to 84.23, 126.02 and 75.78

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Solution

The fourth proportional to 84.23, 126.02 and 75.78 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.23 : 126.02 = 75.78 : x
  2. Step 2: Convert to fraction form
    84.23/126.02 = 75.78/x
  3. Step 3: Cross multiply
    84.23x = 126.02 × 75.78
  4. Step 4: Simplify right side
    84.23x = 9,549.42
  5. Step 5: Solve for x
    x = 9,549.42/84.23
  6. Step 6: Final answer
    x = 113.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.