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Finding the Fourth Proportional to 206,673.42, 285,212.43 and 199,521.90

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Solution

The fourth proportional to 206,673.42, 285,212.43 and 199,521.90 is: 275,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,673.42 : 285,212.43 = 199,521.90 : x
  2. Step 2: Convert to fraction form
    206,673.42/285,212.43 = 199,521.90/x
  3. Step 3: Cross multiply
    206,673.42x = 285,212.43 × 199,521.90
  4. Step 4: Simplify right side
    206,673.42x = 56,906,125,937.22
  5. Step 5: Solve for x
    x = 56,906,125,937.22/206,673.42
  6. Step 6: Final answer
    x = 275,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.