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Finding the Fourth Proportional to 512,116.08, 768,188.16 and 138,138

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Solution

The fourth proportional to 512,116.08, 768,188.16 and 138,138 is: 207,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,116.08 : 768,188.16 = 138,138 : x
  2. Step 2: Convert to fraction form
    512,116.08/768,188.16 = 138,138/x
  3. Step 3: Cross multiply
    512,116.08x = 768,188.16 × 138,138
  4. Step 4: Simplify right side
    512,116.08x = 106,115,976,046.08
  5. Step 5: Solve for x
    x = 106,115,976,046.08/512,116.08
  6. Step 6: Final answer
    x = 207,210.79

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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.