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Finding the Fourth Proportional to 123.26, 169.86 and 86.36

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Solution

The fourth proportional to 123.26, 169.86 and 86.36 is: 119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 169.86 = 86.36 : x
  2. Step 2: Convert to fraction form
    123.26/169.86 = 86.36/x
  3. Step 3: Cross multiply
    123.26x = 169.86 × 86.36
  4. Step 4: Simplify right side
    123.26x = 14,668.58
  5. Step 5: Solve for x
    x = 14,668.58/123.26
  6. Step 6: Final answer
    x = 119.01

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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.