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Finding the Fourth Proportional to 106.74, 159.93 and 76.26

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Solution

The fourth proportional to 106.74, 159.93 and 76.26 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.74 : 159.93 = 76.26 : x
  2. Step 2: Convert to fraction form
    106.74/159.93 = 76.26/x
  3. Step 3: Cross multiply
    106.74x = 159.93 × 76.26
  4. Step 4: Simplify right side
    106.74x = 12,196.26
  5. Step 5: Solve for x
    x = 12,196.26/106.74
  6. Step 6: Final answer
    x = 114.26

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