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Finding the Fourth Proportional to 206,970, 285,618.96 and 117,546

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Solution

The fourth proportional to 206,970, 285,618.96 and 117,546 is: 162,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 285,618.96 = 117,546 : x
  2. Step 2: Convert to fraction form
    206,970/285,618.96 = 117,546/x
  3. Step 3: Cross multiply
    206,970x = 285,618.96 × 117,546
  4. Step 4: Simplify right side
    206,970x = 33,573,366,272.16
  5. Step 5: Solve for x
    x = 33,573,366,272.16/206,970
  6. Step 6: Final answer
    x = 162,213.68

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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.