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Finding the Fourth Proportional to 275,209.64, 412,766.85 and 72,808.26

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Solution

The fourth proportional to 275,209.64, 412,766.85 and 72,808.26 is: 109,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.64 : 412,766.85 = 72,808.26 : x
  2. Step 2: Convert to fraction form
    275,209.64/412,766.85 = 72,808.26/x
  3. Step 3: Cross multiply
    275,209.64x = 412,766.85 × 72,808.26
  4. Step 4: Simplify right side
    275,209.64x = 30,052,836,134.18
  5. Step 5: Solve for x
    x = 30,052,836,134.18/275,209.64
  6. Step 6: Final answer
    x = 109,199.79

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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.