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Finding the Fourth Proportional to 206,445.92, 309,653.82 and 92,629.04

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Solution

The fourth proportional to 206,445.92, 309,653.82 and 92,629.04 is: 138,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,445.92 : 309,653.82 = 92,629.04 : x
  2. Step 2: Convert to fraction form
    206,445.92/309,653.82 = 92,629.04/x
  3. Step 3: Cross multiply
    206,445.92x = 309,653.82 × 92,629.04
  4. Step 4: Simplify right side
    206,445.92x = 28,682,934,530.66
  5. Step 5: Solve for x
    x = 28,682,934,530.66/206,445.92
  6. Step 6: Final answer
    x = 138,936.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.