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Finding the Fourth Proportional to 76,083.94, 114,165.70 and 31,138.66

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Solution

The fourth proportional to 76,083.94, 114,165.70 and 31,138.66 is: 46,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.94 : 114,165.70 = 31,138.66 : x
  2. Step 2: Convert to fraction form
    76,083.94/114,165.70 = 31,138.66/x
  3. Step 3: Cross multiply
    76,083.94x = 114,165.70 × 31,138.66
  4. Step 4: Simplify right side
    76,083.94x = 3,554,966,189.44
  5. Step 5: Solve for x
    x = 3,554,966,189.44/76,083.94
  6. Step 6: Final answer
    x = 46,724.27

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