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Finding the Fourth Proportional to 194,673, 268,648.80 and 105,249

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Solution

The fourth proportional to 194,673, 268,648.80 and 105,249 is: 145,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,673 : 268,648.80 = 105,249 : x
  2. Step 2: Convert to fraction form
    194,673/268,648.80 = 105,249/x
  3. Step 3: Cross multiply
    194,673x = 268,648.80 × 105,249
  4. Step 4: Simplify right side
    194,673x = 28,275,017,551.20
  5. Step 5: Solve for x
    x = 28,275,017,551.20/194,673
  6. Step 6: Final answer
    x = 145,243.65

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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.