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Finding the Fourth Proportional to 84.19, 116.25 and 67.89

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Solution

The fourth proportional to 84.19, 116.25 and 67.89 is: 93.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 116.25 = 67.89 : x
  2. Step 2: Convert to fraction form
    84.19/116.25 = 67.89/x
  3. Step 3: Cross multiply
    84.19x = 116.25 × 67.89
  4. Step 4: Simplify right side
    84.19x = 7,891.87
  5. Step 5: Solve for x
    x = 7,891.87/84.19
  6. Step 6: Final answer
    x = 93.74

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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.