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Finding the Fourth Proportional to 512,118.08, 768,191.16 and 138,140

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Solution

The fourth proportional to 512,118.08, 768,191.16 and 138,140 is: 207,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,118.08 : 768,191.16 = 138,140 : x
  2. Step 2: Convert to fraction form
    512,118.08/768,191.16 = 138,140/x
  3. Step 3: Cross multiply
    512,118.08x = 768,191.16 × 138,140
  4. Step 4: Simplify right side
    512,118.08x = 106,117,926,842.40
  5. Step 5: Solve for x
    x = 106,117,926,842.40/512,118.08
  6. Step 6: Final answer
    x = 207,213.79

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