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Finding the Fourth Proportional to 115.71, 173.02 and 84.96

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Solution

The fourth proportional to 115.71, 173.02 and 84.96 is: 127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 173.02 = 84.96 : x
  2. Step 2: Convert to fraction form
    115.71/173.02 = 84.96/x
  3. Step 3: Cross multiply
    115.71x = 173.02 × 84.96
  4. Step 4: Simplify right side
    115.71x = 14,699.78
  5. Step 5: Solve for x
    x = 14,699.78/115.71
  6. Step 6: Final answer
    x = 127.04

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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.