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Finding the Fourth Proportional to 206,604.83, 309,866.41 and 56,806.47

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Solution

The fourth proportional to 206,604.83, 309,866.41 and 56,806.47 is: 85,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,604.83 : 309,866.41 = 56,806.47 : x
  2. Step 2: Convert to fraction form
    206,604.83/309,866.41 = 56,806.47/x
  3. Step 3: Cross multiply
    206,604.83x = 309,866.41 × 56,806.47
  4. Step 4: Simplify right side
    206,604.83x = 17,602,416,639.64
  5. Step 5: Solve for x
    x = 17,602,416,639.64/206,604.83
  6. Step 6: Final answer
    x = 85,198.48

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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.