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Finding the Fourth Proportional to 204,490.88, 306,775.04 and 79,824

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Solution

The fourth proportional to 204,490.88, 306,775.04 and 79,824 is: 119,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490.88 : 306,775.04 = 79,824 : x
  2. Step 2: Convert to fraction form
    204,490.88/306,775.04 = 79,824/x
  3. Step 3: Cross multiply
    204,490.88x = 306,775.04 × 79,824
  4. Step 4: Simplify right side
    204,490.88x = 24,488,010,792.96
  5. Step 5: Solve for x
    x = 24,488,010,792.96/204,490.88
  6. Step 6: Final answer
    x = 119,751.11

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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.