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Finding the Fourth Proportional to 127.50, 190.34 and 108.11

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Solution

The fourth proportional to 127.50, 190.34 and 108.11 is: 161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 190.34 = 108.11 : x
  2. Step 2: Convert to fraction form
    127.50/190.34 = 108.11/x
  3. Step 3: Cross multiply
    127.50x = 190.34 × 108.11
  4. Step 4: Simplify right side
    127.50x = 20,577.66
  5. Step 5: Solve for x
    x = 20,577.66/127.50
  6. Step 6: Final answer
    x = 161.39

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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.