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Finding the Fourth Proportional to 127.91, 190.78 and 112.52

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Solution

The fourth proportional to 127.91, 190.78 and 112.52 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 190.78 = 112.52 : x
  2. Step 2: Convert to fraction form
    127.91/190.78 = 112.52/x
  3. Step 3: Cross multiply
    127.91x = 190.78 × 112.52
  4. Step 4: Simplify right side
    127.91x = 21,466.57
  5. Step 5: Solve for x
    x = 21,466.57/127.91
  6. Step 6: Final answer
    x = 167.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.