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Finding the Fourth Proportional to 67,158.80, 100,738.20 and 47,475.80

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Solution

The fourth proportional to 67,158.80, 100,738.20 and 47,475.80 is: 71,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,158.80 : 100,738.20 = 47,475.80 : x
  2. Step 2: Convert to fraction form
    67,158.80/100,738.20 = 47,475.80/x
  3. Step 3: Cross multiply
    67,158.80x = 100,738.20 × 47,475.80
  4. Step 4: Simplify right side
    67,158.80x = 4,782,626,635.56
  5. Step 5: Solve for x
    x = 4,782,626,635.56/67,158.80
  6. Step 6: Final answer
    x = 71,213.70

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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.