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Finding the Fourth Proportional to 221,953.92, 332,975.52 and 81,709.44

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Solution

The fourth proportional to 221,953.92, 332,975.52 and 81,709.44 is: 122,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953.92 : 332,975.52 = 81,709.44 : x
  2. Step 2: Convert to fraction form
    221,953.92/332,975.52 = 81,709.44/x
  3. Step 3: Cross multiply
    221,953.92x = 332,975.52 × 81,709.44
  4. Step 4: Simplify right side
    221,953.92x = 27,207,243,272.91
  5. Step 5: Solve for x
    x = 27,207,243,272.91/221,953.92
  6. Step 6: Final answer
    x = 122,580.59

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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.