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Finding the Fourth Proportional to 108.14, 161.78 and 77.78

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Solution

The fourth proportional to 108.14, 161.78 and 77.78 is: 116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 161.78 = 77.78 : x
  2. Step 2: Convert to fraction form
    108.14/161.78 = 77.78/x
  3. Step 3: Cross multiply
    108.14x = 161.78 × 77.78
  4. Step 4: Simplify right side
    108.14x = 12,583.25
  5. Step 5: Solve for x
    x = 12,583.25/108.14
  6. Step 6: Final answer
    x = 116.36

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