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Finding the Fourth Proportional to 39,800, 59,655.72 and 20,096.48

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Solution

The fourth proportional to 39,800, 59,655.72 and 20,096.48 is: 30,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800 : 59,655.72 = 20,096.48 : x
  2. Step 2: Convert to fraction form
    39,800/59,655.72 = 20,096.48/x
  3. Step 3: Cross multiply
    39,800x = 59,655.72 × 20,096.48
  4. Step 4: Simplify right side
    39,800x = 1,198,869,983.87
  5. Step 5: Solve for x
    x = 1,198,869,983.87/39,800
  6. Step 6: Final answer
    x = 30,122.36

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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.