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Finding the Fourth Proportional to 512,016.75, 768,025.14 and 138,039.75

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Solution

The fourth proportional to 512,016.75, 768,025.14 and 138,039.75 is: 207,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,016.75 : 768,025.14 = 138,039.75 : x
  2. Step 2: Convert to fraction form
    512,016.75/768,025.14 = 138,039.75/x
  3. Step 3: Cross multiply
    512,016.75x = 768,025.14 × 138,039.75
  4. Step 4: Simplify right side
    512,016.75x = 106,017,998,319.32
  5. Step 5: Solve for x
    x = 106,017,998,319.32/512,016.75
  6. Step 6: Final answer
    x = 207,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.