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Finding the Fourth Proportional to 127.50, 189.81 and 126.82

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Solution

The fourth proportional to 127.50, 189.81 and 126.82 is: 188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 189.81 = 126.82 : x
  2. Step 2: Convert to fraction form
    127.50/189.81 = 126.82/x
  3. Step 3: Cross multiply
    127.50x = 189.81 × 126.82
  4. Step 4: Simplify right side
    127.50x = 24,071.70
  5. Step 5: Solve for x
    x = 24,071.70/127.50
  6. Step 6: Final answer
    x = 188.80

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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.