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Finding the Fourth Proportional to 81,713.82, 122,577.80 and 22,549.50

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Solution

The fourth proportional to 81,713.82, 122,577.80 and 22,549.50 is: 33,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713.82 : 122,577.80 = 22,549.50 : x
  2. Step 2: Convert to fraction form
    81,713.82/122,577.80 = 22,549.50/x
  3. Step 3: Cross multiply
    81,713.82x = 122,577.80 × 22,549.50
  4. Step 4: Simplify right side
    81,713.82x = 2,764,068,101.10
  5. Step 5: Solve for x
    x = 2,764,068,101.10/81,713.82
  6. Step 6: Final answer
    x = 33,826.20

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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.