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Finding the Fourth Proportional to 129.12, 177.96 and 123.04

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Solution

The fourth proportional to 129.12, 177.96 and 123.04 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 177.96 = 123.04 : x
  2. Step 2: Convert to fraction form
    129.12/177.96 = 123.04/x
  3. Step 3: Cross multiply
    129.12x = 177.96 × 123.04
  4. Step 4: Simplify right side
    129.12x = 21,896.20
  5. Step 5: Solve for x
    x = 21,896.20/129.12
  6. Step 6: Final answer
    x = 169.58

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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.