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Finding the Fourth Proportional to 205,791.90, 308,687.85 and 72,671.10

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Solution

The fourth proportional to 205,791.90, 308,687.85 and 72,671.10 is: 109,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,791.90 : 308,687.85 = 72,671.10 : x
  2. Step 2: Convert to fraction form
    205,791.90/308,687.85 = 72,671.10/x
  3. Step 3: Cross multiply
    205,791.90x = 308,687.85 × 72,671.10
  4. Step 4: Simplify right side
    205,791.90x = 22,432,685,616.14
  5. Step 5: Solve for x
    x = 22,432,685,616.14/205,791.90
  6. Step 6: Final answer
    x = 109,006.65

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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.