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Finding the Fourth Proportional to 221,221.75, 331,833.84 and 55,009.75

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Solution

The fourth proportional to 221,221.75, 331,833.84 and 55,009.75 is: 82,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,221.75 : 331,833.84 = 55,009.75 : x
  2. Step 2: Convert to fraction form
    221,221.75/331,833.84 = 55,009.75/x
  3. Step 3: Cross multiply
    221,221.75x = 331,833.84 × 55,009.75
  4. Step 4: Simplify right side
    221,221.75x = 18,254,096,579.94
  5. Step 5: Solve for x
    x = 18,254,096,579.94/221,221.75
  6. Step 6: Final answer
    x = 82,514.93

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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.