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Finding the Fourth Proportional to 206,548.70, 309,823.05 and 194,107.10

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Solution

The fourth proportional to 206,548.70, 309,823.05 and 194,107.10 is: 291,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,548.70 : 309,823.05 = 194,107.10 : x
  2. Step 2: Convert to fraction form
    206,548.70/309,823.05 = 194,107.10/x
  3. Step 3: Cross multiply
    206,548.70x = 309,823.05 × 194,107.10
  4. Step 4: Simplify right side
    206,548.70x = 60,138,853,748.66
  5. Step 5: Solve for x
    x = 60,138,853,748.66/206,548.70
  6. Step 6: Final answer
    x = 291,160.65

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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.