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Finding the Fourth Proportional to 127.86, 190.86 and 111.66

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Solution

The fourth proportional to 127.86, 190.86 and 111.66 is: 166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 190.86 = 111.66 : x
  2. Step 2: Convert to fraction form
    127.86/190.86 = 111.66/x
  3. Step 3: Cross multiply
    127.86x = 190.86 × 111.66
  4. Step 4: Simplify right side
    127.86x = 21,311.43
  5. Step 5: Solve for x
    x = 21,311.43/127.86
  6. Step 6: Final answer
    x = 166.68

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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.