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Finding the Fourth Proportional to 205,821.20, 308,731.80 and 72,705.80

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Solution

The fourth proportional to 205,821.20, 308,731.80 and 72,705.80 is: 109,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,821.20 : 308,731.80 = 72,705.80 : x
  2. Step 2: Convert to fraction form
    205,821.20/308,731.80 = 72,705.80/x
  3. Step 3: Cross multiply
    205,821.20x = 308,731.80 × 72,705.80
  4. Step 4: Simplify right side
    205,821.20x = 22,446,592,504.44
  5. Step 5: Solve for x
    x = 22,446,592,504.44/205,821.20
  6. Step 6: Final answer
    x = 109,058.70

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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.