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Finding the Fourth Proportional to 80,575.76, 120,860 and 27,989.34

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Solution

The fourth proportional to 80,575.76, 120,860 and 27,989.34 is: 41,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,575.76 : 120,860 = 27,989.34 : x
  2. Step 2: Convert to fraction form
    80,575.76/120,860 = 27,989.34/x
  3. Step 3: Cross multiply
    80,575.76x = 120,860 × 27,989.34
  4. Step 4: Simplify right side
    80,575.76x = 3,382,791,632.40
  5. Step 5: Solve for x
    x = 3,382,791,632.40/80,575.76
  6. Step 6: Final answer
    x = 41,982.75

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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.