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Finding the Fourth Proportional to 206,844.78, 310,190.54 and 73,689.69

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Solution

The fourth proportional to 206,844.78, 310,190.54 and 73,689.69 is: 110,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844.78 : 310,190.54 = 73,689.69 : x
  2. Step 2: Convert to fraction form
    206,844.78/310,190.54 = 73,689.69/x
  3. Step 3: Cross multiply
    206,844.78x = 310,190.54 × 73,689.69
  4. Step 4: Simplify right side
    206,844.78x = 22,857,844,365.08
  5. Step 5: Solve for x
    x = 22,857,844,365.08/206,844.78
  6. Step 6: Final answer
    x = 110,507.23

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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.