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Finding the Fourth Proportional to 205,129.40, 307,866.90 and 80,559.80

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Solution

The fourth proportional to 205,129.40, 307,866.90 and 80,559.80 is: 120,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,129.40 : 307,866.90 = 80,559.80 : x
  2. Step 2: Convert to fraction form
    205,129.40/307,866.90 = 80,559.80/x
  3. Step 3: Cross multiply
    205,129.40x = 307,866.90 × 80,559.80
  4. Step 4: Simplify right side
    205,129.40x = 24,801,695,890.62
  5. Step 5: Solve for x
    x = 24,801,695,890.62/205,129.40
  6. Step 6: Final answer
    x = 120,907.56

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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.