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Finding the Fourth Proportional to 194,763, 268,772.96 and 105,339

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Solution

The fourth proportional to 194,763, 268,772.96 and 105,339 is: 145,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,763 : 268,772.96 = 105,339 : x
  2. Step 2: Convert to fraction form
    194,763/268,772.96 = 105,339/x
  3. Step 3: Cross multiply
    194,763x = 268,772.96 × 105,339
  4. Step 4: Simplify right side
    194,763x = 28,312,274,833.44
  5. Step 5: Solve for x
    x = 28,312,274,833.44/194,763
  6. Step 6: Final answer
    x = 145,367.83

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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.