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Finding the Fourth Proportional to 126.83, 189.20 and 114.53

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Solution

The fourth proportional to 126.83, 189.20 and 114.53 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.83 : 189.20 = 114.53 : x
  2. Step 2: Convert to fraction form
    126.83/189.20 = 114.53/x
  3. Step 3: Cross multiply
    126.83x = 189.20 × 114.53
  4. Step 4: Simplify right side
    126.83x = 21,669.40
  5. Step 5: Solve for x
    x = 21,669.40/126.83
  6. Step 6: Final answer
    x = 170.85

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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.