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Finding the Fourth Proportional to 221,091.42, 331,637.13 and 54,879.42

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Solution

The fourth proportional to 221,091.42, 331,637.13 and 54,879.42 is: 82,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,091.42 : 331,637.13 = 54,879.42 : x
  2. Step 2: Convert to fraction form
    221,091.42/331,637.13 = 54,879.42/x
  3. Step 3: Cross multiply
    221,091.42x = 331,637.13 × 54,879.42
  4. Step 4: Simplify right side
    221,091.42x = 18,200,053,344.86
  5. Step 5: Solve for x
    x = 18,200,053,344.86/221,091.42
  6. Step 6: Final answer
    x = 82,319.13

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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.