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Finding the Fourth Proportional to 126.40, 189.69 and 83.05

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Solution

The fourth proportional to 126.40, 189.69 and 83.05 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 189.69 = 83.05 : x
  2. Step 2: Convert to fraction form
    126.40/189.69 = 83.05/x
  3. Step 3: Cross multiply
    126.40x = 189.69 × 83.05
  4. Step 4: Simplify right side
    126.40x = 15,753.34
  5. Step 5: Solve for x
    x = 15,753.34/126.40
  6. Step 6: Final answer
    x = 124.64

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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.