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Finding the Fourth Proportional to 206,591.34, 309,939.11 and 100,026.34

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Solution

The fourth proportional to 206,591.34, 309,939.11 and 100,026.34 is: 150,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,591.34 : 309,939.11 = 100,026.34 : x
  2. Step 2: Convert to fraction form
    206,591.34/309,939.11 = 100,026.34/x
  3. Step 3: Cross multiply
    206,591.34x = 309,939.11 × 100,026.34
  4. Step 4: Simplify right side
    206,591.34x = 31,002,075,639.68
  5. Step 5: Solve for x
    x = 31,002,075,639.68/206,591.34
  6. Step 6: Final answer
    x = 150,064.74

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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.