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Finding the Fourth Proportional to 194,849, 268,891.64 and 105,425

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Solution

The fourth proportional to 194,849, 268,891.64 and 105,425 is: 145,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,849 : 268,891.64 = 105,425 : x
  2. Step 2: Convert to fraction form
    194,849/268,891.64 = 105,425/x
  3. Step 3: Cross multiply
    194,849x = 268,891.64 × 105,425
  4. Step 4: Simplify right side
    194,849x = 28,347,901,147
  5. Step 5: Solve for x
    x = 28,347,901,147/194,849
  6. Step 6: Final answer
    x = 145,486.51

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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.