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Finding the Fourth Proportional to 122.16, 168.68 and 94.62

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Solution

The fourth proportional to 122.16, 168.68 and 94.62 is: 130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.68 = 94.62 : x
  2. Step 2: Convert to fraction form
    122.16/168.68 = 94.62/x
  3. Step 3: Cross multiply
    122.16x = 168.68 × 94.62
  4. Step 4: Simplify right side
    122.16x = 15,960.03
  5. Step 5: Solve for x
    x = 15,960.03/122.16
  6. Step 6: Final answer
    x = 130.65

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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.