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Finding the Fourth Proportional to 71,912.80, 107,851.92 and 36,834.40

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Solution

The fourth proportional to 71,912.80, 107,851.92 and 36,834.40 is: 55,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,912.80 : 107,851.92 = 36,834.40 : x
  2. Step 2: Convert to fraction form
    71,912.80/107,851.92 = 36,834.40/x
  3. Step 3: Cross multiply
    71,912.80x = 107,851.92 × 36,834.40
  4. Step 4: Simplify right side
    71,912.80x = 3,972,660,762.05
  5. Step 5: Solve for x
    x = 3,972,660,762.05/71,912.80
  6. Step 6: Final answer
    x = 55,242.75

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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.