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Finding the Fourth Proportional to 127.78, 190.86 and 113.20

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Solution

The fourth proportional to 127.78, 190.86 and 113.20 is: 169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.78 : 190.86 = 113.20 : x
  2. Step 2: Convert to fraction form
    127.78/190.86 = 113.20/x
  3. Step 3: Cross multiply
    127.78x = 190.86 × 113.20
  4. Step 4: Simplify right side
    127.78x = 21,604.45
  5. Step 5: Solve for x
    x = 21,604.45/127.78
  6. Step 6: Final answer
    x = 169.08

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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.