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Finding the Fourth Proportional to 221,221.86, 331,834.11 and 55,009.86

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Solution

The fourth proportional to 221,221.86, 331,834.11 and 55,009.86 is: 82,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,221.86 : 331,834.11 = 55,009.86 : x
  2. Step 2: Convert to fraction form
    221,221.86/331,834.11 = 55,009.86/x
  3. Step 3: Cross multiply
    221,221.86x = 331,834.11 × 55,009.86
  4. Step 4: Simplify right side
    221,221.86x = 18,254,147,934.32
  5. Step 5: Solve for x
    x = 18,254,147,934.32/221,221.86
  6. Step 6: Final answer
    x = 82,515.12

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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.