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Finding the Fourth Proportional to 126.02, 189.38 and 121.48

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Solution

The fourth proportional to 126.02, 189.38 and 121.48 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 189.38 = 121.48 : x
  2. Step 2: Convert to fraction form
    126.02/189.38 = 121.48/x
  3. Step 3: Cross multiply
    126.02x = 189.38 × 121.48
  4. Step 4: Simplify right side
    126.02x = 23,005.71
  5. Step 5: Solve for x
    x = 23,005.71/126.02
  6. Step 6: Final answer
    x = 182.55

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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.