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Finding the Fourth Proportional to 206,217.22, 309,259.95 and 65,942.50

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Solution

The fourth proportional to 206,217.22, 309,259.95 and 65,942.50 is: 98,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,217.22 : 309,259.95 = 65,942.50 : x
  2. Step 2: Convert to fraction form
    206,217.22/309,259.95 = 65,942.50/x
  3. Step 3: Cross multiply
    206,217.22x = 309,259.95 × 65,942.50
  4. Step 4: Simplify right side
    206,217.22x = 20,393,374,252.88
  5. Step 5: Solve for x
    x = 20,393,374,252.88/206,217.22
  6. Step 6: Final answer
    x = 98,892.68

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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.