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Finding the Fourth Proportional to 78.16, 117.44 and 74.96

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Solution

The fourth proportional to 78.16, 117.44 and 74.96 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.16 : 117.44 = 74.96 : x
  2. Step 2: Convert to fraction form
    78.16/117.44 = 74.96/x
  3. Step 3: Cross multiply
    78.16x = 117.44 × 74.96
  4. Step 4: Simplify right side
    78.16x = 8,803.30
  5. Step 5: Solve for x
    x = 8,803.30/78.16
  6. Step 6: Final answer
    x = 112.63

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