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Finding the Fourth Proportional to 206,709.84, 309,843 and 106,842.96

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Solution

The fourth proportional to 206,709.84, 309,843 and 106,842.96 is: 160,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,709.84 : 309,843 = 106,842.96 : x
  2. Step 2: Convert to fraction form
    206,709.84/309,843 = 106,842.96/x
  3. Step 3: Cross multiply
    206,709.84x = 309,843 × 106,842.96
  4. Step 4: Simplify right side
    206,709.84x = 33,104,543,255.28
  5. Step 5: Solve for x
    x = 33,104,543,255.28/206,709.84
  6. Step 6: Final answer
    x = 160,149.82

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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.