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Finding the Fourth Proportional to 122.70, 168.62 and 117.06

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Solution

The fourth proportional to 122.70, 168.62 and 117.06 is: 160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 168.62 = 117.06 : x
  2. Step 2: Convert to fraction form
    122.70/168.62 = 117.06/x
  3. Step 3: Cross multiply
    122.70x = 168.62 × 117.06
  4. Step 4: Simplify right side
    122.70x = 19,738.66
  5. Step 5: Solve for x
    x = 19,738.66/122.70
  6. Step 6: Final answer
    x = 160.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.