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Finding the Fourth Proportional to 126.73, 174.62 and 85.22

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Solution

The fourth proportional to 126.73, 174.62 and 85.22 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.73 : 174.62 = 85.22 : x
  2. Step 2: Convert to fraction form
    126.73/174.62 = 85.22/x
  3. Step 3: Cross multiply
    126.73x = 174.62 × 85.22
  4. Step 4: Simplify right side
    126.73x = 14,881.11
  5. Step 5: Solve for x
    x = 14,881.11/126.73
  6. Step 6: Final answer
    x = 117.42

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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.