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Finding the Fourth Proportional to 126.94, 189.56 and 108.70

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Solution

The fourth proportional to 126.94, 189.56 and 108.70 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 189.56 = 108.70 : x
  2. Step 2: Convert to fraction form
    126.94/189.56 = 108.70/x
  3. Step 3: Cross multiply
    126.94x = 189.56 × 108.70
  4. Step 4: Simplify right side
    126.94x = 20,605.17
  5. Step 5: Solve for x
    x = 20,605.17/126.94
  6. Step 6: Final answer
    x = 162.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.