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Finding the Fourth Proportional to 206,506.86, 309,760.31 and 73,392.37

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Solution

The fourth proportional to 206,506.86, 309,760.31 and 73,392.37 is: 110,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.86 : 309,760.31 = 73,392.37 : x
  2. Step 2: Convert to fraction form
    206,506.86/309,760.31 = 73,392.37/x
  3. Step 3: Cross multiply
    206,506.86x = 309,760.31 × 73,392.37
  4. Step 4: Simplify right side
    206,506.86x = 22,734,042,915.87
  5. Step 5: Solve for x
    x = 22,734,042,915.87/206,506.86
  6. Step 6: Final answer
    x = 110,088.56

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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.