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Finding the Fourth Proportional to 206,615.85, 309,901.89 and 66,363.54

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Solution

The fourth proportional to 206,615.85, 309,901.89 and 66,363.54 is: 99,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.85 : 309,901.89 = 66,363.54 : x
  2. Step 2: Convert to fraction form
    206,615.85/309,901.89 = 66,363.54/x
  3. Step 3: Cross multiply
    206,615.85x = 309,901.89 × 66,363.54
  4. Step 4: Simplify right side
    206,615.85x = 20,566,186,473.09
  5. Step 5: Solve for x
    x = 20,566,186,473.09/206,615.85
  6. Step 6: Final answer
    x = 99,538.28

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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.