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Finding the Fourth Proportional to 122.94, 168.44 and 109.98

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Solution

The fourth proportional to 122.94, 168.44 and 109.98 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.94 : 168.44 = 109.98 : x
  2. Step 2: Convert to fraction form
    122.94/168.44 = 109.98/x
  3. Step 3: Cross multiply
    122.94x = 168.44 × 109.98
  4. Step 4: Simplify right side
    122.94x = 18,524.48
  5. Step 5: Solve for x
    x = 18,524.48/122.94
  6. Step 6: Final answer
    x = 150.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.