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Finding the Fourth Proportional to 123.51, 169.71 and 109.68

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Solution

The fourth proportional to 123.51, 169.71 and 109.68 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 169.71 = 109.68 : x
  2. Step 2: Convert to fraction form
    123.51/169.71 = 109.68/x
  3. Step 3: Cross multiply
    123.51x = 169.71 × 109.68
  4. Step 4: Simplify right side
    123.51x = 18,612.75
  5. Step 5: Solve for x
    x = 18,612.75/123.51
  6. Step 6: Final answer
    x = 150.69

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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.