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Finding the Fourth Proportional to 81,745, 121,902.14 and 80,997.62

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Solution

The fourth proportional to 81,745, 121,902.14 and 80,997.62 is: 120,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745 : 121,902.14 = 80,997.62 : x
  2. Step 2: Convert to fraction form
    81,745/121,902.14 = 80,997.62/x
  3. Step 3: Cross multiply
    81,745x = 121,902.14 × 80,997.62
  4. Step 4: Simplify right side
    81,745x = 9,873,783,212.91
  5. Step 5: Solve for x
    x = 9,873,783,212.91/81,745
  6. Step 6: Final answer
    x = 120,787.61

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1.5x scale

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.