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Finding the Fourth Proportional to 206,328.35, 309,466.17 and 79,882.09

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Solution

The fourth proportional to 206,328.35, 309,466.17 and 79,882.09 is: 119,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,328.35 : 309,466.17 = 79,882.09 : x
  2. Step 2: Convert to fraction form
    206,328.35/309,466.17 = 79,882.09/x
  3. Step 3: Cross multiply
    206,328.35x = 309,466.17 × 79,882.09
  4. Step 4: Simplify right side
    206,328.35x = 24,720,803,670.23
  5. Step 5: Solve for x
    x = 24,720,803,670.23/206,328.35
  6. Step 6: Final answer
    x = 119,812.93

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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.