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Finding the Fourth Proportional to 122.09, 168.35 and 94.46

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Solution

The fourth proportional to 122.09, 168.35 and 94.46 is: 130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 168.35 = 94.46 : x
  2. Step 2: Convert to fraction form
    122.09/168.35 = 94.46/x
  3. Step 3: Cross multiply
    122.09x = 168.35 × 94.46
  4. Step 4: Simplify right side
    122.09x = 15,901.03
  5. Step 5: Solve for x
    x = 15,901.03/122.09
  6. Step 6: Final answer
    x = 130.25

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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.