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Finding the Fourth Proportional to 69,591, 104,403.84 and 20,343

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Solution

The fourth proportional to 69,591, 104,403.84 and 20,343 is: 30,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,591 : 104,403.84 = 20,343 : x
  2. Step 2: Convert to fraction form
    69,591/104,403.84 = 20,343/x
  3. Step 3: Cross multiply
    69,591x = 104,403.84 × 20,343
  4. Step 4: Simplify right side
    69,591x = 2,123,887,317.12
  5. Step 5: Solve for x
    x = 2,123,887,317.12/69,591
  6. Step 6: Final answer
    x = 30,519.57

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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.