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Finding the Fourth Proportional to 206,404.54, 309,694.47 and 112,800.94

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Solution

The fourth proportional to 206,404.54, 309,694.47 and 112,800.94 is: 169,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.54 : 309,694.47 = 112,800.94 : x
  2. Step 2: Convert to fraction form
    206,404.54/309,694.47 = 112,800.94/x
  3. Step 3: Cross multiply
    206,404.54x = 309,694.47 × 112,800.94
  4. Step 4: Simplify right side
    206,404.54x = 34,933,827,328.80
  5. Step 5: Solve for x
    x = 34,933,827,328.80/206,404.54
  6. Step 6: Final answer
    x = 169,249.32

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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.