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Finding the Fourth Proportional to 56,682.80, 85,024.20 and 50,121.80

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Solution

The fourth proportional to 56,682.80, 85,024.20 and 50,121.80 is: 75,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,682.80 : 85,024.20 = 50,121.80 : x
  2. Step 2: Convert to fraction form
    56,682.80/85,024.20 = 50,121.80/x
  3. Step 3: Cross multiply
    56,682.80x = 85,024.20 × 50,121.80
  4. Step 4: Simplify right side
    56,682.80x = 4,261,565,947.56
  5. Step 5: Solve for x
    x = 4,261,565,947.56/56,682.80
  6. Step 6: Final answer
    x = 75,182.70

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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.