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Finding the Fourth Proportional to 123.68, 169.87 and 109.10

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Solution

The fourth proportional to 123.68, 169.87 and 109.10 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 169.87 = 109.10 : x
  2. Step 2: Convert to fraction form
    123.68/169.87 = 109.10/x
  3. Step 3: Cross multiply
    123.68x = 169.87 × 109.10
  4. Step 4: Simplify right side
    123.68x = 18,532.82
  5. Step 5: Solve for x
    x = 18,532.82/123.68
  6. Step 6: Final answer
    x = 149.84

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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.