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Finding the Fourth Proportional to 128.61, 192.69 and 67.73

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Solution

The fourth proportional to 128.61, 192.69 and 67.73 is: 101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.61 : 192.69 = 67.73 : x
  2. Step 2: Convert to fraction form
    128.61/192.69 = 67.73/x
  3. Step 3: Cross multiply
    128.61x = 192.69 × 67.73
  4. Step 4: Simplify right side
    128.61x = 13,049.93
  5. Step 5: Solve for x
    x = 13,049.93/128.61
  6. Step 6: Final answer
    x = 101.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.