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Finding the Fourth Proportional to 123.94, 170.12 and 109.81

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Solution

The fourth proportional to 123.94, 170.12 and 109.81 is: 150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.94 : 170.12 = 109.81 : x
  2. Step 2: Convert to fraction form
    123.94/170.12 = 109.81/x
  3. Step 3: Cross multiply
    123.94x = 170.12 × 109.81
  4. Step 4: Simplify right side
    123.94x = 18,680.88
  5. Step 5: Solve for x
    x = 18,680.88/123.94
  6. Step 6: Final answer
    x = 150.73

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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.