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Finding the Fourth Proportional to 114.30, 171.09 and 81.70

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Solution

The fourth proportional to 114.30, 171.09 and 81.70 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 171.09 = 81.70 : x
  2. Step 2: Convert to fraction form
    114.30/171.09 = 81.70/x
  3. Step 3: Cross multiply
    114.30x = 171.09 × 81.70
  4. Step 4: Simplify right side
    114.30x = 13,978.05
  5. Step 5: Solve for x
    x = 13,978.05/114.30
  6. Step 6: Final answer
    x = 122.29

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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.