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Finding the Fourth Proportional to 127.85, 190.67 and 108.71

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Solution

The fourth proportional to 127.85, 190.67 and 108.71 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.85 : 190.67 = 108.71 : x
  2. Step 2: Convert to fraction form
    127.85/190.67 = 108.71/x
  3. Step 3: Cross multiply
    127.85x = 190.67 × 108.71
  4. Step 4: Simplify right side
    127.85x = 20,727.19
  5. Step 5: Solve for x
    x = 20,727.19/127.85
  6. Step 6: Final answer
    x = 162.12

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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.