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Finding the Fourth Proportional to 206,714.17, 285,216.82 and 117,290.17

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Solution

The fourth proportional to 206,714.17, 285,216.82 and 117,290.17 is: 161,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714.17 : 285,216.82 = 117,290.17 : x
  2. Step 2: Convert to fraction form
    206,714.17/285,216.82 = 117,290.17/x
  3. Step 3: Cross multiply
    206,714.17x = 285,216.82 × 117,290.17
  4. Step 4: Simplify right side
    206,714.17x = 33,453,129,304.66
  5. Step 5: Solve for x
    x = 33,453,129,304.66/206,714.17
  6. Step 6: Final answer
    x = 161,832.78

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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.