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Finding the Fourth Proportional to 82,564.68, 123,842.16 and 27,160.68

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Solution

The fourth proportional to 82,564.68, 123,842.16 and 27,160.68 is: 40,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,564.68 : 123,842.16 = 27,160.68 : x
  2. Step 2: Convert to fraction form
    82,564.68/123,842.16 = 27,160.68/x
  3. Step 3: Cross multiply
    82,564.68x = 123,842.16 × 27,160.68
  4. Step 4: Simplify right side
    82,564.68x = 3,363,637,278.27
  5. Step 5: Solve for x
    x = 3,363,637,278.27/82,564.68
  6. Step 6: Final answer
    x = 40,739.42

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