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Finding the Fourth Proportional to 275,441.42, 413,163.95 and 75,782.90

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Solution

The fourth proportional to 275,441.42, 413,163.95 and 75,782.90 is: 113,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,441.42 : 413,163.95 = 75,782.90 : x
  2. Step 2: Convert to fraction form
    275,441.42/413,163.95 = 75,782.90/x
  3. Step 3: Cross multiply
    275,441.42x = 413,163.95 × 75,782.90
  4. Step 4: Simplify right side
    275,441.42x = 31,310,759,861.72
  5. Step 5: Solve for x
    x = 31,310,759,861.72/275,441.42
  6. Step 6: Final answer
    x = 113,674.84

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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.