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Finding the Fourth Proportional to 127.20, 190.80 and 113.12

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Solution

The fourth proportional to 127.20, 190.80 and 113.12 is: 169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 190.80 = 113.12 : x
  2. Step 2: Convert to fraction form
    127.20/190.80 = 113.12/x
  3. Step 3: Cross multiply
    127.20x = 190.80 × 113.12
  4. Step 4: Simplify right side
    127.20x = 21,583.30
  5. Step 5: Solve for x
    x = 21,583.30/127.20
  6. Step 6: Final answer
    x = 169.68

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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.