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Finding the Fourth Proportional to 126.38, 189.19 and 77.50

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Solution

The fourth proportional to 126.38, 189.19 and 77.50 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 189.19 = 77.50 : x
  2. Step 2: Convert to fraction form
    126.38/189.19 = 77.50/x
  3. Step 3: Cross multiply
    126.38x = 189.19 × 77.50
  4. Step 4: Simplify right side
    126.38x = 14,662.23
  5. Step 5: Solve for x
    x = 14,662.23/126.38
  6. Step 6: Final answer
    x = 116.02

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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.