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Finding the Fourth Proportional to 122.60, 169.18 and 70.85

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Solution

The fourth proportional to 122.60, 169.18 and 70.85 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 169.18 = 70.85 : x
  2. Step 2: Convert to fraction form
    122.60/169.18 = 70.85/x
  3. Step 3: Cross multiply
    122.60x = 169.18 × 70.85
  4. Step 4: Simplify right side
    122.60x = 11,985.73
  5. Step 5: Solve for x
    x = 11,985.73/122.60
  6. Step 6: Final answer
    x = 97.77

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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.