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Finding the Fourth Proportional to 105.87, 158.76 and 51.71

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Solution

The fourth proportional to 105.87, 158.76 and 51.71 is: 77.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 158.76 = 51.71 : x
  2. Step 2: Convert to fraction form
    105.87/158.76 = 51.71/x
  3. Step 3: Cross multiply
    105.87x = 158.76 × 51.71
  4. Step 4: Simplify right side
    105.87x = 8,208.69
  5. Step 5: Solve for x
    x = 8,208.69/105.87
  6. Step 6: Final answer
    x = 77.53

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