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Finding the Fourth Proportional to 205,045.20, 307,644.60 and 80,475.60

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Solution

The fourth proportional to 205,045.20, 307,644.60 and 80,475.60 is: 120,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,045.20 : 307,644.60 = 80,475.60 : x
  2. Step 2: Convert to fraction form
    205,045.20/307,644.60 = 80,475.60/x
  3. Step 3: Cross multiply
    205,045.20x = 307,644.60 × 80,475.60
  4. Step 4: Simplify right side
    205,045.20x = 24,757,883,771.76
  5. Step 5: Solve for x
    x = 24,757,883,771.76/205,045.20
  6. Step 6: Final answer
    x = 120,743.54

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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.