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Finding the Fourth Proportional to 127.62, 190.43 and 111.22

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Solution

The fourth proportional to 127.62, 190.43 and 111.22 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 190.43 = 111.22 : x
  2. Step 2: Convert to fraction form
    127.62/190.43 = 111.22/x
  3. Step 3: Cross multiply
    127.62x = 190.43 × 111.22
  4. Step 4: Simplify right side
    127.62x = 21,179.62
  5. Step 5: Solve for x
    x = 21,179.62/127.62
  6. Step 6: Final answer
    x = 165.96

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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.