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Finding the Fourth Proportional to 105.12, 157.44 and 64.47

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Solution

The fourth proportional to 105.12, 157.44 and 64.47 is: 96.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 157.44 = 64.47 : x
  2. Step 2: Convert to fraction form
    105.12/157.44 = 64.47/x
  3. Step 3: Cross multiply
    105.12x = 157.44 × 64.47
  4. Step 4: Simplify right side
    105.12x = 10,150.16
  5. Step 5: Solve for x
    x = 10,150.16/105.12
  6. Step 6: Final answer
    x = 96.56

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