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Finding the Fourth Proportional to 122.04, 167.96 and 116.57

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Solution

The fourth proportional to 122.04, 167.96 and 116.57 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 167.96 = 116.57 : x
  2. Step 2: Convert to fraction form
    122.04/167.96 = 116.57/x
  3. Step 3: Cross multiply
    122.04x = 167.96 × 116.57
  4. Step 4: Simplify right side
    122.04x = 19,579.10
  5. Step 5: Solve for x
    x = 19,579.10/122.04
  6. Step 6: Final answer
    x = 160.43

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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.