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Finding the Fourth Proportional to 81,739, 121,893.20 and 80,991.62

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Solution

The fourth proportional to 81,739, 121,893.20 and 80,991.62 is: 120,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,739 : 121,893.20 = 80,991.62 : x
  2. Step 2: Convert to fraction form
    81,739/121,893.20 = 80,991.62/x
  3. Step 3: Cross multiply
    81,739x = 121,893.20 × 80,991.62
  4. Step 4: Simplify right side
    81,739x = 9,872,327,734.98
  5. Step 5: Solve for x
    x = 9,872,327,734.98/81,739
  6. Step 6: Final answer
    x = 120,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.