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Finding the Fourth Proportional to 206,759.70, 285,294.26 and 121,893.16

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Solution

The fourth proportional to 206,759.70, 285,294.26 and 121,893.16 is: 168,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,759.70 : 285,294.26 = 121,893.16 : x
  2. Step 2: Convert to fraction form
    206,759.70/285,294.26 = 121,893.16/x
  3. Step 3: Cross multiply
    206,759.70x = 285,294.26 × 121,893.16
  4. Step 4: Simplify right side
    206,759.70x = 34,775,418,881.26
  5. Step 5: Solve for x
    x = 34,775,418,881.26/206,759.70
  6. Step 6: Final answer
    x = 168,192.44

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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.