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Finding the Fourth Proportional to 81,399.84, 122,098.92 and 22,235.52

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Solution

The fourth proportional to 81,399.84, 122,098.92 and 22,235.52 is: 33,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,399.84 : 122,098.92 = 22,235.52 : x
  2. Step 2: Convert to fraction form
    81,399.84/122,098.92 = 22,235.52/x
  3. Step 3: Cross multiply
    81,399.84x = 122,098.92 × 22,235.52
  4. Step 4: Simplify right side
    81,399.84x = 2,714,932,977.64
  5. Step 5: Solve for x
    x = 2,714,932,977.64/81,399.84
  6. Step 6: Final answer
    x = 33,353.05

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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.