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Finding the Fourth Proportional to 206,323.46, 309,485.19 and 136,186.37

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Solution

The fourth proportional to 206,323.46, 309,485.19 and 136,186.37 is: 204,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,323.46 : 309,485.19 = 136,186.37 : x
  2. Step 2: Convert to fraction form
    206,323.46/309,485.19 = 136,186.37/x
  3. Step 3: Cross multiply
    206,323.46x = 309,485.19 × 136,186.37
  4. Step 4: Simplify right side
    206,323.46x = 42,147,664,594.86
  5. Step 5: Solve for x
    x = 42,147,664,594.86/206,323.46
  6. Step 6: Final answer
    x = 204,279.56

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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.