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Finding the Fourth Proportional to 70,811.76, 106,234.92 and 21,563.76

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Solution

The fourth proportional to 70,811.76, 106,234.92 and 21,563.76 is: 32,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811.76 : 106,234.92 = 21,563.76 : x
  2. Step 2: Convert to fraction form
    70,811.76/106,234.92 = 21,563.76/x
  3. Step 3: Cross multiply
    70,811.76x = 106,234.92 × 21,563.76
  4. Step 4: Simplify right side
    70,811.76x = 2,290,824,318.50
  5. Step 5: Solve for x
    x = 2,290,824,318.50/70,811.76
  6. Step 6: Final answer
    x = 32,350.90

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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.