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Finding the Fourth Proportional to 70,783.92, 106,158.87 and 20,850.53

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Solution

The fourth proportional to 70,783.92, 106,158.87 and 20,850.53 is: 31,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.92 : 106,158.87 = 20,850.53 : x
  2. Step 2: Convert to fraction form
    70,783.92/106,158.87 = 20,850.53/x
  3. Step 3: Cross multiply
    70,783.92x = 106,158.87 × 20,850.53
  4. Step 4: Simplify right side
    70,783.92x = 2,213,468,172.91
  5. Step 5: Solve for x
    x = 2,213,468,172.91/70,783.92
  6. Step 6: Final answer
    x = 31,270.78

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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.