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Finding the Fourth Proportional to 106.22, 159.41 and 52.12

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Solution

The fourth proportional to 106.22, 159.41 and 52.12 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 159.41 = 52.12 : x
  2. Step 2: Convert to fraction form
    106.22/159.41 = 52.12/x
  3. Step 3: Cross multiply
    106.22x = 159.41 × 52.12
  4. Step 4: Simplify right side
    106.22x = 8,307.79
  5. Step 5: Solve for x
    x = 8,307.79/106.22
  6. Step 6: Final answer
    x = 78.21

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