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Finding the Fourth Proportional to 206,387.36, 309,595.44 and 81,728

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Solution

The fourth proportional to 206,387.36, 309,595.44 and 81,728 is: 122,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,387.36 : 309,595.44 = 81,728 : x
  2. Step 2: Convert to fraction form
    206,387.36/309,595.44 = 81,728/x
  3. Step 3: Cross multiply
    206,387.36x = 309,595.44 × 81,728
  4. Step 4: Simplify right side
    206,387.36x = 25,302,616,120.32
  5. Step 5: Solve for x
    x = 25,302,616,120.32/206,387.36
  6. Step 6: Final answer
    x = 122,597.70

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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.