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Finding the Fourth Proportional to 122.71, 170.13 and 116.47

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Solution

The fourth proportional to 122.71, 170.13 and 116.47 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.71 : 170.13 = 116.47 : x
  2. Step 2: Convert to fraction form
    122.71/170.13 = 116.47/x
  3. Step 3: Cross multiply
    122.71x = 170.13 × 116.47
  4. Step 4: Simplify right side
    122.71x = 19,815.04
  5. Step 5: Solve for x
    x = 19,815.04/122.71
  6. Step 6: Final answer
    x = 161.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.