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Finding the Fourth Proportional to 69,256.80, 103,888.32 and 21,221.88

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Solution

The fourth proportional to 69,256.80, 103,888.32 and 21,221.88 is: 31,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,256.80 : 103,888.32 = 21,221.88 : x
  2. Step 2: Convert to fraction form
    69,256.80/103,888.32 = 21,221.88/x
  3. Step 3: Cross multiply
    69,256.80x = 103,888.32 × 21,221.88
  4. Step 4: Simplify right side
    69,256.80x = 2,204,705,460.44
  5. Step 5: Solve for x
    x = 2,204,705,460.44/69,256.80
  6. Step 6: Final answer
    x = 31,833.78

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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.