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Finding the Fourth Proportional to 80,071.81, 120,105.36 and 20,907.48

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Solution

The fourth proportional to 80,071.81, 120,105.36 and 20,907.48 is: 31,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,071.81 : 120,105.36 = 20,907.48 : x
  2. Step 2: Convert to fraction form
    80,071.81/120,105.36 = 20,907.48/x
  3. Step 3: Cross multiply
    80,071.81x = 120,105.36 × 20,907.48
  4. Step 4: Simplify right side
    80,071.81x = 2,511,100,862.49
  5. Step 5: Solve for x
    x = 2,511,100,862.49/80,071.81
  6. Step 6: Final answer
    x = 31,360.61

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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.