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Finding the Fourth Proportional to 81,512.99, 122,261.30 and 22,354.61

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Solution

The fourth proportional to 81,512.99, 122,261.30 and 22,354.61 is: 33,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,512.99 : 122,261.30 = 22,354.61 : x
  2. Step 2: Convert to fraction form
    81,512.99/122,261.30 = 22,354.61/x
  3. Step 3: Cross multiply
    81,512.99x = 122,261.30 × 22,354.61
  4. Step 4: Simplify right side
    81,512.99x = 2,733,103,567.82
  5. Step 5: Solve for x
    x = 2,733,103,567.82/81,512.99
  6. Step 6: Final answer
    x = 33,529.67

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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.