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Finding the Fourth Proportional to 69,800, 104,719.20 and 20,552

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Solution

The fourth proportional to 69,800, 104,719.20 and 20,552 is: 30,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,800 : 104,719.20 = 20,552 : x
  2. Step 2: Convert to fraction form
    69,800/104,719.20 = 20,552/x
  3. Step 3: Cross multiply
    69,800x = 104,719.20 × 20,552
  4. Step 4: Simplify right side
    69,800x = 2,152,188,998.40
  5. Step 5: Solve for x
    x = 2,152,188,998.40/69,800
  6. Step 6: Final answer
    x = 30,833.65

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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.