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Finding the Fourth Proportional to 126.36, 190.08 and 114.48

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Solution

The fourth proportional to 126.36, 190.08 and 114.48 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 190.08 = 114.48 : x
  2. Step 2: Convert to fraction form
    126.36/190.08 = 114.48/x
  3. Step 3: Cross multiply
    126.36x = 190.08 × 114.48
  4. Step 4: Simplify right side
    126.36x = 21,760.36
  5. Step 5: Solve for x
    x = 21,760.36/126.36
  6. Step 6: Final answer
    x = 172.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.