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Finding the Fourth Proportional to 106,694.42, 160,049.79 and 31,808.84

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Solution

The fourth proportional to 106,694.42, 160,049.79 and 31,808.84 is: 47,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,694.42 : 160,049.79 = 31,808.84 : x
  2. Step 2: Convert to fraction form
    106,694.42/160,049.79 = 31,808.84/x
  3. Step 3: Cross multiply
    106,694.42x = 160,049.79 × 31,808.84
  4. Step 4: Simplify right side
    106,694.42x = 5,090,997,361.89
  5. Step 5: Solve for x
    x = 5,090,997,361.89/106,694.42
  6. Step 6: Final answer
    x = 47,715.69

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