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Finding the Fourth Proportional to 106.04, 146.50 and 83.88

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Solution

The fourth proportional to 106.04, 146.50 and 83.88 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 146.50 = 83.88 : x
  2. Step 2: Convert to fraction form
    106.04/146.50 = 83.88/x
  3. Step 3: Cross multiply
    106.04x = 146.50 × 83.88
  4. Step 4: Simplify right side
    106.04x = 12,288.21
  5. Step 5: Solve for x
    x = 12,288.21/106.04
  6. Step 6: Final answer
    x = 115.88

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