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Finding the Fourth Proportional to 127.59, 189.94 and 126.91

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Solution

The fourth proportional to 127.59, 189.94 and 126.91 is: 188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.59 : 189.94 = 126.91 : x
  2. Step 2: Convert to fraction form
    127.59/189.94 = 126.91/x
  3. Step 3: Cross multiply
    127.59x = 189.94 × 126.91
  4. Step 4: Simplify right side
    127.59x = 24,104.49
  5. Step 5: Solve for x
    x = 24,104.49/127.59
  6. Step 6: Final answer
    x = 188.92

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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.