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Finding the Fourth Proportional to 126.80, 190.09 and 45.63

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Solution

The fourth proportional to 126.80, 190.09 and 45.63 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 190.09 = 45.63 : x
  2. Step 2: Convert to fraction form
    126.80/190.09 = 45.63/x
  3. Step 3: Cross multiply
    126.80x = 190.09 × 45.63
  4. Step 4: Simplify right side
    126.80x = 8,672.98
  5. Step 5: Solve for x
    x = 8,672.98/126.80
  6. Step 6: Final answer
    x = 68.40

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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.