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Finding the Fourth Proportional to 126.82, 189.05 and 121.42

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Solution

The fourth proportional to 126.82, 189.05 and 121.42 is: 181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 189.05 = 121.42 : x
  2. Step 2: Convert to fraction form
    126.82/189.05 = 121.42/x
  3. Step 3: Cross multiply
    126.82x = 189.05 × 121.42
  4. Step 4: Simplify right side
    126.82x = 22,954.45
  5. Step 5: Solve for x
    x = 22,954.45/126.82
  6. Step 6: Final answer
    x = 181.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.