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Finding the Fourth Proportional to 50,704.80, 76,078.80 and 31,999.20

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Solution

The fourth proportional to 50,704.80, 76,078.80 and 31,999.20 is: 48,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.80 : 76,078.80 = 31,999.20 : x
  2. Step 2: Convert to fraction form
    50,704.80/76,078.80 = 31,999.20/x
  3. Step 3: Cross multiply
    50,704.80x = 76,078.80 × 31,999.20
  4. Step 4: Simplify right side
    50,704.80x = 2,434,460,736.96
  5. Step 5: Solve for x
    x = 2,434,460,736.96/50,704.80
  6. Step 6: Final answer
    x = 48,012.43

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1.5x scale

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.