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Finding the Fourth Proportional to 253,872.20, 380,954.10 and 96,213.80

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Solution

The fourth proportional to 253,872.20, 380,954.10 and 96,213.80 is: 144,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872.20 : 380,954.10 = 96,213.80 : x
  2. Step 2: Convert to fraction form
    253,872.20/380,954.10 = 96,213.80/x
  3. Step 3: Cross multiply
    253,872.20x = 380,954.10 × 96,213.80
  4. Step 4: Simplify right side
    253,872.20x = 36,653,041,586.58
  5. Step 5: Solve for x
    x = 36,653,041,586.58/253,872.20
  6. Step 6: Final answer
    x = 144,375.96

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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.