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Finding the Fourth Proportional to 204,510.88, 306,805.04 and 79,844

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Solution

The fourth proportional to 204,510.88, 306,805.04 and 79,844 is: 119,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.88 : 306,805.04 = 79,844 : x
  2. Step 2: Convert to fraction form
    204,510.88/306,805.04 = 79,844/x
  3. Step 3: Cross multiply
    204,510.88x = 306,805.04 × 79,844
  4. Step 4: Simplify right side
    204,510.88x = 24,496,541,613.76
  5. Step 5: Solve for x
    x = 24,496,541,613.76/204,510.88
  6. Step 6: Final answer
    x = 119,781.12

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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.