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Finding the Fourth Proportional to 84.85, 116.84 and 74.62

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Solution

The fourth proportional to 84.85, 116.84 and 74.62 is: 102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 116.84 = 74.62 : x
  2. Step 2: Convert to fraction form
    84.85/116.84 = 74.62/x
  3. Step 3: Cross multiply
    84.85x = 116.84 × 74.62
  4. Step 4: Simplify right side
    84.85x = 8,718.93
  5. Step 5: Solve for x
    x = 8,718.93/84.85
  6. Step 6: Final answer
    x = 102.76

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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.