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Finding the Fourth Proportional to 127.81, 190.72 and 114.18

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Solution

The fourth proportional to 127.81, 190.72 and 114.18 is: 170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 190.72 = 114.18 : x
  2. Step 2: Convert to fraction form
    127.81/190.72 = 114.18/x
  3. Step 3: Cross multiply
    127.81x = 190.72 × 114.18
  4. Step 4: Simplify right side
    127.81x = 21,776.41
  5. Step 5: Solve for x
    x = 21,776.41/127.81
  6. Step 6: Final answer
    x = 170.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.