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Finding the Fourth Proportional to 221,745.82, 332,749.95 and 81,602.86

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Solution

The fourth proportional to 221,745.82, 332,749.95 and 81,602.86 is: 122,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,745.82 : 332,749.95 = 81,602.86 : x
  2. Step 2: Convert to fraction form
    221,745.82/332,749.95 = 81,602.86/x
  3. Step 3: Cross multiply
    221,745.82x = 332,749.95 × 81,602.86
  4. Step 4: Simplify right side
    221,745.82x = 27,153,347,584.86
  5. Step 5: Solve for x
    x = 27,153,347,584.86/221,745.82
  6. Step 6: Final answer
    x = 122,452.58

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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.