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Finding the Fourth Proportional to 127.14, 189.76 and 112.52

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Solution

The fourth proportional to 127.14, 189.76 and 112.52 is: 167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 189.76 = 112.52 : x
  2. Step 2: Convert to fraction form
    127.14/189.76 = 112.52/x
  3. Step 3: Cross multiply
    127.14x = 189.76 × 112.52
  4. Step 4: Simplify right side
    127.14x = 21,351.80
  5. Step 5: Solve for x
    x = 21,351.80/127.14
  6. Step 6: Final answer
    x = 167.94

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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.