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Finding the Fourth Proportional to 69,338.30, 103,923.90 and 31,846.64

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Solution

The fourth proportional to 69,338.30, 103,923.90 and 31,846.64 is: 47,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,338.30 : 103,923.90 = 31,846.64 : x
  2. Step 2: Convert to fraction form
    69,338.30/103,923.90 = 31,846.64/x
  3. Step 3: Cross multiply
    69,338.30x = 103,923.90 × 31,846.64
  4. Step 4: Simplify right side
    69,338.30x = 3,309,627,030.70
  5. Step 5: Solve for x
    x = 3,309,627,030.70/69,338.30
  6. Step 6: Final answer
    x = 47,731.59

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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.