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Finding the Fourth Proportional to 206,696.58, 309,983.25 and 80,356.44

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Solution

The fourth proportional to 206,696.58, 309,983.25 and 80,356.44 is: 120,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,696.58 : 309,983.25 = 80,356.44 : x
  2. Step 2: Convert to fraction form
    206,696.58/309,983.25 = 80,356.44/x
  3. Step 3: Cross multiply
    206,696.58x = 309,983.25 × 80,356.44
  4. Step 4: Simplify right side
    206,696.58x = 24,909,150,429.63
  5. Step 5: Solve for x
    x = 24,909,150,429.63/206,696.58
  6. Step 6: Final answer
    x = 120,510.70

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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.