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Finding the Fourth Proportional to 126.64, 189.85 and 78.44

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Solution

The fourth proportional to 126.64, 189.85 and 78.44 is: 117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 189.85 = 78.44 : x
  2. Step 2: Convert to fraction form
    126.64/189.85 = 78.44/x
  3. Step 3: Cross multiply
    126.64x = 189.85 × 78.44
  4. Step 4: Simplify right side
    126.64x = 14,891.83
  5. Step 5: Solve for x
    x = 14,891.83/126.64
  6. Step 6: Final answer
    x = 117.59

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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.