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Finding the Fourth Proportional to 206,191.86, 308,762.76 and 135,857.94

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Solution

The fourth proportional to 206,191.86, 308,762.76 and 135,857.94 is: 203,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191.86 : 308,762.76 = 135,857.94 : x
  2. Step 2: Convert to fraction form
    206,191.86/308,762.76 = 135,857.94/x
  3. Step 3: Cross multiply
    206,191.86x = 308,762.76 × 135,857.94
  4. Step 4: Simplify right side
    206,191.86x = 41,947,872,522.31
  5. Step 5: Solve for x
    x = 41,947,872,522.31/206,191.86
  6. Step 6: Final answer
    x = 203,440.97

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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.