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Finding the Fourth Proportional to 127.43, 190.83 and 113

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Solution

The fourth proportional to 127.43, 190.83 and 113 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.43 : 190.83 = 113 : x
  2. Step 2: Convert to fraction form
    127.43/190.83 = 113/x
  3. Step 3: Cross multiply
    127.43x = 190.83 × 113
  4. Step 4: Simplify right side
    127.43x = 21,563.79
  5. Step 5: Solve for x
    x = 21,563.79/127.43
  6. Step 6: Final answer
    x = 169.22

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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.