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Finding the Fourth Proportional to 206,682.24, 285,308.16 and 139,704.96

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Solution

The fourth proportional to 206,682.24, 285,308.16 and 139,704.96 is: 192,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.24 : 285,308.16 = 139,704.96 : x
  2. Step 2: Convert to fraction form
    206,682.24/285,308.16 = 139,704.96/x
  3. Step 3: Cross multiply
    206,682.24x = 285,308.16 × 139,704.96
  4. Step 4: Simplify right side
    206,682.24x = 39,858,965,080.47
  5. Step 5: Solve for x
    x = 39,858,965,080.47/206,682.24
  6. Step 6: Final answer
    x = 192,851.43

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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.