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Finding the Fourth Proportional to 215,890.80, 323,836.20 and 75,634.80

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Solution

The fourth proportional to 215,890.80, 323,836.20 and 75,634.80 is: 113,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,890.80 : 323,836.20 = 75,634.80 : x
  2. Step 2: Convert to fraction form
    215,890.80/323,836.20 = 75,634.80/x
  3. Step 3: Cross multiply
    215,890.80x = 323,836.20 × 75,634.80
  4. Step 4: Simplify right side
    215,890.80x = 24,493,286,219.76
  5. Step 5: Solve for x
    x = 24,493,286,219.76/215,890.80
  6. Step 6: Final answer
    x = 113,452.20

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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.