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Finding the Fourth Proportional to 206,366.90, 309,550.37 and 136,229.81

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Solution

The fourth proportional to 206,366.90, 309,550.37 and 136,229.81 is: 204,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,366.90 : 309,550.37 = 136,229.81 : x
  2. Step 2: Convert to fraction form
    206,366.90/309,550.37 = 136,229.81/x
  3. Step 3: Cross multiply
    206,366.90x = 309,550.37 × 136,229.81
  4. Step 4: Simplify right side
    206,366.90x = 42,169,985,861.63
  5. Step 5: Solve for x
    x = 42,169,985,861.63/206,366.90
  6. Step 6: Final answer
    x = 204,344.72

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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.