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Finding the Fourth Proportional to 138.54, 208.05 and 84.75

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Solution

The fourth proportional to 138.54, 208.05 and 84.75 is: 127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 208.05 = 84.75 : x
  2. Step 2: Convert to fraction form
    138.54/208.05 = 84.75/x
  3. Step 3: Cross multiply
    138.54x = 208.05 × 84.75
  4. Step 4: Simplify right side
    138.54x = 17,632.24
  5. Step 5: Solve for x
    x = 17,632.24/138.54
  6. Step 6: Final answer
    x = 127.27

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