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Finding the Fourth Proportional to 122.78, 169.35 and 84.06

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Solution

The fourth proportional to 122.78, 169.35 and 84.06 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 169.35 = 84.06 : x
  2. Step 2: Convert to fraction form
    122.78/169.35 = 84.06/x
  3. Step 3: Cross multiply
    122.78x = 169.35 × 84.06
  4. Step 4: Simplify right side
    122.78x = 14,235.56
  5. Step 5: Solve for x
    x = 14,235.56/122.78
  6. Step 6: Final answer
    x = 115.94

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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.