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Finding the Fourth Proportional to 206,530.11, 285,015.90 and 115,892.64

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Solution

The fourth proportional to 206,530.11, 285,015.90 and 115,892.64 is: 159,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,530.11 : 285,015.90 = 115,892.64 : x
  2. Step 2: Convert to fraction form
    206,530.11/285,015.90 = 115,892.64/x
  3. Step 3: Cross multiply
    206,530.11x = 285,015.90 × 115,892.64
  4. Step 4: Simplify right side
    206,530.11x = 33,031,245,092.98
  5. Step 5: Solve for x
    x = 33,031,245,092.98/206,530.11
  6. Step 6: Final answer
    x = 159,934.28

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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.