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Finding the Fourth Proportional to 126.11, 189.03 and 78.05

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Solution

The fourth proportional to 126.11, 189.03 and 78.05 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.11 : 189.03 = 78.05 : x
  2. Step 2: Convert to fraction form
    126.11/189.03 = 78.05/x
  3. Step 3: Cross multiply
    126.11x = 189.03 × 78.05
  4. Step 4: Simplify right side
    126.11x = 14,753.79
  5. Step 5: Solve for x
    x = 14,753.79/126.11
  6. Step 6: Final answer
    x = 116.99

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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.