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Finding the Fourth Proportional to 80,148.08, 120,233.04 and 33,390

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Solution

The fourth proportional to 80,148.08, 120,233.04 and 33,390 is: 50,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148.08 : 120,233.04 = 33,390 : x
  2. Step 2: Convert to fraction form
    80,148.08/120,233.04 = 33,390/x
  3. Step 3: Cross multiply
    80,148.08x = 120,233.04 × 33,390
  4. Step 4: Simplify right side
    80,148.08x = 4,014,581,205.60
  5. Step 5: Solve for x
    x = 4,014,581,205.60/80,148.08
  6. Step 6: Final answer
    x = 50,089.55

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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.