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Finding the Fourth Proportional to 128.72, 176.02 and 124.24

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Solution

The fourth proportional to 128.72, 176.02 and 124.24 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.72 : 176.02 = 124.24 : x
  2. Step 2: Convert to fraction form
    128.72/176.02 = 124.24/x
  3. Step 3: Cross multiply
    128.72x = 176.02 × 124.24
  4. Step 4: Simplify right side
    128.72x = 21,868.72
  5. Step 5: Solve for x
    x = 21,868.72/128.72
  6. Step 6: Final answer
    x = 169.89

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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.