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Finding the Fourth Proportional to 80,146.08, 120,230.04 and 33,388

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Solution

The fourth proportional to 80,146.08, 120,230.04 and 33,388 is: 50,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,146.08 : 120,230.04 = 33,388 : x
  2. Step 2: Convert to fraction form
    80,146.08/120,230.04 = 33,388/x
  3. Step 3: Cross multiply
    80,146.08x = 120,230.04 × 33,388
  4. Step 4: Simplify right side
    80,146.08x = 4,014,240,575.52
  5. Step 5: Solve for x
    x = 4,014,240,575.52/80,146.08
  6. Step 6: Final answer
    x = 50,086.55

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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.