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Finding the Fourth Proportional to 221,745.78, 332,421.21 and 81,471.60

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Solution

The fourth proportional to 221,745.78, 332,421.21 and 81,471.60 is: 122,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,745.78 : 332,421.21 = 81,471.60 : x
  2. Step 2: Convert to fraction form
    221,745.78/332,421.21 = 81,471.60/x
  3. Step 3: Cross multiply
    221,745.78x = 332,421.21 × 81,471.60
  4. Step 4: Simplify right side
    221,745.78x = 27,082,887,852.64
  5. Step 5: Solve for x
    x = 27,082,887,852.64/221,745.78
  6. Step 6: Final answer
    x = 122,134.85

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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.