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Finding the Fourth Proportional to 84.17, 115.89 and 73.19

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Solution

The fourth proportional to 84.17, 115.89 and 73.19 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.17 : 115.89 = 73.19 : x
  2. Step 2: Convert to fraction form
    84.17/115.89 = 73.19/x
  3. Step 3: Cross multiply
    84.17x = 115.89 × 73.19
  4. Step 4: Simplify right side
    84.17x = 8,481.99
  5. Step 5: Solve for x
    x = 8,481.99/84.17
  6. Step 6: Final answer
    x = 100.77

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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.