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Finding the Fourth Proportional to 69,309.90, 103,892.49 and 50,288.54

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Solution

The fourth proportional to 69,309.90, 103,892.49 and 50,288.54 is: 75,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,309.90 : 103,892.49 = 50,288.54 : x
  2. Step 2: Convert to fraction form
    69,309.90/103,892.49 = 50,288.54/x
  3. Step 3: Cross multiply
    69,309.90x = 103,892.49 × 50,288.54
  4. Step 4: Simplify right side
    69,309.90x = 5,224,601,639.06
  5. Step 5: Solve for x
    x = 5,224,601,639.06/69,309.90
  6. Step 6: Final answer
    x = 75,380.31

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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.