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Finding the Fourth Proportional to 122.56, 169.21 and 94.88

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Solution

The fourth proportional to 122.56, 169.21 and 94.88 is: 130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 169.21 = 94.88 : x
  2. Step 2: Convert to fraction form
    122.56/169.21 = 94.88/x
  3. Step 3: Cross multiply
    122.56x = 169.21 × 94.88
  4. Step 4: Simplify right side
    122.56x = 16,054.64
  5. Step 5: Solve for x
    x = 16,054.64/122.56
  6. Step 6: Final answer
    x = 130.99

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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.