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Finding the Fourth Proportional to 127.26, 189.95 and 111.14

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Solution

The fourth proportional to 127.26, 189.95 and 111.14 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 189.95 = 111.14 : x
  2. Step 2: Convert to fraction form
    127.26/189.95 = 111.14/x
  3. Step 3: Cross multiply
    127.26x = 189.95 × 111.14
  4. Step 4: Simplify right side
    127.26x = 21,111.38
  5. Step 5: Solve for x
    x = 21,111.38/127.26
  6. Step 6: Final answer
    x = 165.89

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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.