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Finding the Fourth Proportional to 84.35, 125.88 and 74.23

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Solution

The fourth proportional to 84.35, 125.88 and 74.23 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.35 : 125.88 = 74.23 : x
  2. Step 2: Convert to fraction form
    84.35/125.88 = 74.23/x
  3. Step 3: Cross multiply
    84.35x = 125.88 × 74.23
  4. Step 4: Simplify right side
    84.35x = 9,344.07
  5. Step 5: Solve for x
    x = 9,344.07/84.35
  6. Step 6: Final answer
    x = 110.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.