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Finding the Fourth Proportional to 81,796.10, 122,694.15 and 72,464.90

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Solution

The fourth proportional to 81,796.10, 122,694.15 and 72,464.90 is: 108,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.10 : 122,694.15 = 72,464.90 : x
  2. Step 2: Convert to fraction form
    81,796.10/122,694.15 = 72,464.90/x
  3. Step 3: Cross multiply
    81,796.10x = 122,694.15 × 72,464.90
  4. Step 4: Simplify right side
    81,796.10x = 8,891,019,310.34
  5. Step 5: Solve for x
    x = 8,891,019,310.34/81,796.10
  6. Step 6: Final answer
    x = 108,697.35

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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.