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Finding the Fourth Proportional to 206,466.84, 309,439.17 and 117,770.49

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Solution

The fourth proportional to 206,466.84, 309,439.17 and 117,770.49 is: 176,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.84 : 309,439.17 = 117,770.49 : x
  2. Step 2: Convert to fraction form
    206,466.84/309,439.17 = 117,770.49/x
  3. Step 3: Cross multiply
    206,466.84x = 309,439.17 × 117,770.49
  4. Step 4: Simplify right side
    206,466.84x = 36,442,802,676.09
  5. Step 5: Solve for x
    x = 36,442,802,676.09/206,466.84
  6. Step 6: Final answer
    x = 176,506.81

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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.