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Finding the Fourth Proportional to 127.86, 191.68 and 50.78

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Solution

The fourth proportional to 127.86, 191.68 and 50.78 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 191.68 = 50.78 : x
  2. Step 2: Convert to fraction form
    127.86/191.68 = 50.78/x
  3. Step 3: Cross multiply
    127.86x = 191.68 × 50.78
  4. Step 4: Simplify right side
    127.86x = 9,733.86
  5. Step 5: Solve for x
    x = 9,733.86/127.86
  6. Step 6: Final answer
    x = 76.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.