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Finding the Fourth Proportional to 205,283.60, 307,861.40 and 80,662.80

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Solution

The fourth proportional to 205,283.60, 307,861.40 and 80,662.80 is: 120,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,283.60 : 307,861.40 = 80,662.80 : x
  2. Step 2: Convert to fraction form
    205,283.60/307,861.40 = 80,662.80/x
  3. Step 3: Cross multiply
    205,283.60x = 307,861.40 × 80,662.80
  4. Step 4: Simplify right side
    205,283.60x = 24,832,962,535.92
  5. Step 5: Solve for x
    x = 24,832,962,535.92/205,283.60
  6. Step 6: Final answer
    x = 120,969.05

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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.