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Finding the Fourth Proportional to 52,251.81, 78,353 and 20,245.87

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Solution

The fourth proportional to 52,251.81, 78,353 and 20,245.87 is: 30,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251.81 : 78,353 = 20,245.87 : x
  2. Step 2: Convert to fraction form
    52,251.81/78,353 = 20,245.87/x
  3. Step 3: Cross multiply
    52,251.81x = 78,353 × 20,245.87
  4. Step 4: Simplify right side
    52,251.81x = 1,586,324,652.11
  5. Step 5: Solve for x
    x = 1,586,324,652.11/52,251.81
  6. Step 6: Final answer
    x = 30,359.23

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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.