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Finding the Fourth Proportional to 203,877.34, 305,926 and 119,801.78

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Solution

The fourth proportional to 203,877.34, 305,926 and 119,801.78 is: 179,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877.34 : 305,926 = 119,801.78 : x
  2. Step 2: Convert to fraction form
    203,877.34/305,926 = 119,801.78/x
  3. Step 3: Cross multiply
    203,877.34x = 305,926 × 119,801.78
  4. Step 4: Simplify right side
    203,877.34x = 36,650,479,348.28
  5. Step 5: Solve for x
    x = 36,650,479,348.28/203,877.34
  6. Step 6: Final answer
    x = 179,767.30

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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.