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Finding the Fourth Proportional to 194,722.10, 268,718.56 and 108,689.30

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Solution

The fourth proportional to 194,722.10, 268,718.56 and 108,689.30 is: 149,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722.10 : 268,718.56 = 108,689.30 : x
  2. Step 2: Convert to fraction form
    194,722.10/268,718.56 = 108,689.30/x
  3. Step 3: Cross multiply
    194,722.10x = 268,718.56 × 108,689.30
  4. Step 4: Simplify right side
    194,722.10x = 29,206,832,183.41
  5. Step 5: Solve for x
    x = 29,206,832,183.41/194,722.10
  6. Step 6: Final answer
    x = 149,992.38

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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.