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Finding the Fourth Proportional to 81,573.12, 122,336.16 and 22,410.72

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Solution

The fourth proportional to 81,573.12, 122,336.16 and 22,410.72 is: 33,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,573.12 : 122,336.16 = 22,410.72 : x
  2. Step 2: Convert to fraction form
    81,573.12/122,336.16 = 22,410.72/x
  3. Step 3: Cross multiply
    81,573.12x = 122,336.16 × 22,410.72
  4. Step 4: Simplify right side
    81,573.12x = 2,741,641,427.64
  5. Step 5: Solve for x
    x = 2,741,641,427.64/81,573.12
  6. Step 6: Final answer
    x = 33,609.62

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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.