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Finding the Fourth Proportional to 109.82, 164.77 and 73.40

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Solution

The fourth proportional to 109.82, 164.77 and 73.40 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.77 = 73.40 : x
  2. Step 2: Convert to fraction form
    109.82/164.77 = 73.40/x
  3. Step 3: Cross multiply
    109.82x = 164.77 × 73.40
  4. Step 4: Simplify right side
    109.82x = 12,094.12
  5. Step 5: Solve for x
    x = 12,094.12/109.82
  6. Step 6: Final answer
    x = 110.13

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