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Finding the Fourth Proportional to 69,204, 103,813.29 and 31,757.70

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Solution

The fourth proportional to 69,204, 103,813.29 and 31,757.70 is: 47,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204 : 103,813.29 = 31,757.70 : x
  2. Step 2: Convert to fraction form
    69,204/103,813.29 = 31,757.70/x
  3. Step 3: Cross multiply
    69,204x = 103,813.29 × 31,757.70
  4. Step 4: Simplify right side
    69,204x = 3,296,871,319.83
  5. Step 5: Solve for x
    x = 3,296,871,319.83/69,204
  6. Step 6: Final answer
    x = 47,639.90

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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.