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Finding the Fourth Proportional to 206,324.70, 309,307.05 and 80,051.10

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Solution

The fourth proportional to 206,324.70, 309,307.05 and 80,051.10 is: 120,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.70 : 309,307.05 = 80,051.10 : x
  2. Step 2: Convert to fraction form
    206,324.70/309,307.05 = 80,051.10/x
  3. Step 3: Cross multiply
    206,324.70x = 309,307.05 × 80,051.10
  4. Step 4: Simplify right side
    206,324.70x = 24,760,369,590.26
  5. Step 5: Solve for x
    x = 24,760,369,590.26/206,324.70
  6. Step 6: Final answer
    x = 120,006.81

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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.