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Finding the Fourth Proportional to 80,329.40, 120,407.70 and 30,390.20

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Solution

The fourth proportional to 80,329.40, 120,407.70 and 30,390.20 is: 45,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,329.40 : 120,407.70 = 30,390.20 : x
  2. Step 2: Convert to fraction form
    80,329.40/120,407.70 = 30,390.20/x
  3. Step 3: Cross multiply
    80,329.40x = 120,407.70 × 30,390.20
  4. Step 4: Simplify right side
    80,329.40x = 3,659,214,084.54
  5. Step 5: Solve for x
    x = 3,659,214,084.54/80,329.40
  6. Step 6: Final answer
    x = 45,552.61

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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.