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Finding the Fourth Proportional to 206,605.08, 309,866.78 and 56,806.72

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Solution

The fourth proportional to 206,605.08, 309,866.78 and 56,806.72 is: 85,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,605.08 : 309,866.78 = 56,806.72 : x
  2. Step 2: Convert to fraction form
    206,605.08/309,866.78 = 56,806.72/x
  3. Step 3: Cross multiply
    206,605.08x = 309,866.78 × 56,806.72
  4. Step 4: Simplify right side
    206,605.08x = 17,602,515,408.76
  5. Step 5: Solve for x
    x = 17,602,515,408.76/206,605.08
  6. Step 6: Final answer
    x = 85,198.85

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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.