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Finding the Fourth Proportional to 204,535.80, 306,678.42 and 79,731

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Solution

The fourth proportional to 204,535.80, 306,678.42 and 79,731 is: 119,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,535.80 : 306,678.42 = 79,731 : x
  2. Step 2: Convert to fraction form
    204,535.80/306,678.42 = 79,731/x
  3. Step 3: Cross multiply
    204,535.80x = 306,678.42 × 79,731
  4. Step 4: Simplify right side
    204,535.80x = 24,451,777,105.02
  5. Step 5: Solve for x
    x = 24,451,777,105.02/204,535.80
  6. Step 6: Final answer
    x = 119,547.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.