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Finding the Fourth Proportional to 194,850, 268,893 and 105,426

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Solution

The fourth proportional to 194,850, 268,893 and 105,426 is: 145,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,850 : 268,893 = 105,426 : x
  2. Step 2: Convert to fraction form
    194,850/268,893 = 105,426/x
  3. Step 3: Cross multiply
    194,850x = 268,893 × 105,426
  4. Step 4: Simplify right side
    194,850x = 28,348,313,418
  5. Step 5: Solve for x
    x = 28,348,313,418/194,850
  6. Step 6: Final answer
    x = 145,487.88

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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.