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Finding the Fourth Proportional to 76,209.65, 114,296.09 and 31,812.33

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Solution

The fourth proportional to 76,209.65, 114,296.09 and 31,812.33 is: 47,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,209.65 : 114,296.09 = 31,812.33 : x
  2. Step 2: Convert to fraction form
    76,209.65/114,296.09 = 31,812.33/x
  3. Step 3: Cross multiply
    76,209.65x = 114,296.09 × 31,812.33
  4. Step 4: Simplify right side
    76,209.65x = 3,636,024,773.73
  5. Step 5: Solve for x
    x = 3,636,024,773.73/76,209.65
  6. Step 6: Final answer
    x = 47,710.82

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