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Finding the Fourth Proportional to 206,279.68, 309,706.95 and 106,511.86

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Solution

The fourth proportional to 206,279.68, 309,706.95 and 106,511.86 is: 159,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,279.68 : 309,706.95 = 106,511.86 : x
  2. Step 2: Convert to fraction form
    206,279.68/309,706.95 = 106,511.86/x
  3. Step 3: Cross multiply
    206,279.68x = 309,706.95 × 106,511.86
  4. Step 4: Simplify right side
    206,279.68x = 32,987,463,299.43
  5. Step 5: Solve for x
    x = 32,987,463,299.43/206,279.68
  6. Step 6: Final answer
    x = 159,916.20

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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.