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Finding the Fourth Proportional to 206,001.40, 309,002.10 and 161,764.60

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Solution

The fourth proportional to 206,001.40, 309,002.10 and 161,764.60 is: 242,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,001.40 : 309,002.10 = 161,764.60 : x
  2. Step 2: Convert to fraction form
    206,001.40/309,002.10 = 161,764.60/x
  3. Step 3: Cross multiply
    206,001.40x = 309,002.10 × 161,764.60
  4. Step 4: Simplify right side
    206,001.40x = 49,985,601,105.66
  5. Step 5: Solve for x
    x = 49,985,601,105.66/206,001.40
  6. Step 6: Final answer
    x = 242,646.90

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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.