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Finding the Fourth Proportional to 205,876.80, 308,296.80 and 135,374.40

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Solution

The fourth proportional to 205,876.80, 308,296.80 and 135,374.40 is: 202,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.80 : 308,296.80 = 135,374.40 : x
  2. Step 2: Convert to fraction form
    205,876.80/308,296.80 = 135,374.40/x
  3. Step 3: Cross multiply
    205,876.80x = 308,296.80 × 135,374.40
  4. Step 4: Simplify right side
    205,876.80x = 41,735,494,321.92
  5. Step 5: Solve for x
    x = 41,735,494,321.92/205,876.80
  6. Step 6: Final answer
    x = 202,720.73

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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.