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Finding the Fourth Proportional to 206,404.42, 284,869.23 and 125,878.66

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Solution

The fourth proportional to 206,404.42, 284,869.23 and 125,878.66 is: 173,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.42 : 284,869.23 = 125,878.66 : x
  2. Step 2: Convert to fraction form
    206,404.42/284,869.23 = 125,878.66/x
  3. Step 3: Cross multiply
    206,404.42x = 284,869.23 × 125,878.66
  4. Step 4: Simplify right side
    206,404.42x = 35,858,956,947.63
  5. Step 5: Solve for x
    x = 35,858,956,947.63/206,404.42
  6. Step 6: Final answer
    x = 173,731.54

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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.