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Finding the Fourth Proportional to 205,194.60, 307,727.90 and 80,573.80

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Solution

The fourth proportional to 205,194.60, 307,727.90 and 80,573.80 is: 120,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,194.60 : 307,727.90 = 80,573.80 : x
  2. Step 2: Convert to fraction form
    205,194.60/307,727.90 = 80,573.80/x
  3. Step 3: Cross multiply
    205,194.60x = 307,727.90 × 80,573.80
  4. Step 4: Simplify right side
    205,194.60x = 24,794,806,269.02
  5. Step 5: Solve for x
    x = 24,794,806,269.02/205,194.60
  6. Step 6: Final answer
    x = 120,835.57

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1.5x scale

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.