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Finding the Fourth Proportional to 70,847.98, 106,285.99 and 20,247.46

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Solution

The fourth proportional to 70,847.98, 106,285.99 and 20,247.46 is: 30,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,847.98 : 106,285.99 = 20,247.46 : x
  2. Step 2: Convert to fraction form
    70,847.98/106,285.99 = 20,247.46/x
  3. Step 3: Cross multiply
    70,847.98x = 106,285.99 × 20,247.46
  4. Step 4: Simplify right side
    70,847.98x = 2,152,021,229.85
  5. Step 5: Solve for x
    x = 2,152,021,229.85/70,847.98
  6. Step 6: Final answer
    x = 30,375.20

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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.