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Finding the Fourth Proportional to 194,905, 268,968.92 and 105,481

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Solution

The fourth proportional to 194,905, 268,968.92 and 105,481 is: 145,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,905 : 268,968.92 = 105,481 : x
  2. Step 2: Convert to fraction form
    194,905/268,968.92 = 105,481/x
  3. Step 3: Cross multiply
    194,905x = 268,968.92 × 105,481
  4. Step 4: Simplify right side
    194,905x = 28,371,110,650.52
  5. Step 5: Solve for x
    x = 28,371,110,650.52/194,905
  6. Step 6: Final answer
    x = 145,563.79

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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.