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Finding the Fourth Proportional to 225,784.09, 338,879.18 and 120,692.89

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Solution

The fourth proportional to 225,784.09, 338,879.18 and 120,692.89 is: 181,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.09 : 338,879.18 = 120,692.89 : x
  2. Step 2: Convert to fraction form
    225,784.09/338,879.18 = 120,692.89/x
  3. Step 3: Cross multiply
    225,784.09x = 338,879.18 × 120,692.89
  4. Step 4: Simplify right side
    225,784.09x = 40,900,306,991.57
  5. Step 5: Solve for x
    x = 40,900,306,991.57/225,784.09
  6. Step 6: Final answer
    x = 181,147.87

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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.