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Finding the Fourth Proportional to 20,049.76, 30,074.70 and 6,901.96

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Solution

The fourth proportional to 20,049.76, 30,074.70 and 6,901.96 is: 10,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.76 : 30,074.70 = 6,901.96 : x
  2. Step 2: Convert to fraction form
    20,049.76/30,074.70 = 6,901.96/x
  3. Step 3: Cross multiply
    20,049.76x = 30,074.70 × 6,901.96
  4. Step 4: Simplify right side
    20,049.76x = 207,574,376.41
  5. Step 5: Solve for x
    x = 207,574,376.41/20,049.76
  6. Step 6: Final answer
    x = 10,352.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.