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Finding the Fourth Proportional to 69,335.30, 103,919.40 and 31,843.64

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Solution

The fourth proportional to 69,335.30, 103,919.40 and 31,843.64 is: 47,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,335.30 : 103,919.40 = 31,843.64 : x
  2. Step 2: Convert to fraction form
    69,335.30/103,919.40 = 31,843.64/x
  3. Step 3: Cross multiply
    69,335.30x = 103,919.40 × 31,843.64
  4. Step 4: Simplify right side
    69,335.30x = 3,309,171,962.62
  5. Step 5: Solve for x
    x = 3,309,171,962.62/69,335.30
  6. Step 6: Final answer
    x = 47,727.09

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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.