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Finding the Fourth Proportional to 80,119.98, 120,207.71 and 30,214.39

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Solution

The fourth proportional to 80,119.98, 120,207.71 and 30,214.39 is: 45,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,119.98 : 120,207.71 = 30,214.39 : x
  2. Step 2: Convert to fraction form
    80,119.98/120,207.71 = 30,214.39/x
  3. Step 3: Cross multiply
    80,119.98x = 120,207.71 × 30,214.39
  4. Step 4: Simplify right side
    80,119.98x = 3,632,002,630.95
  5. Step 5: Solve for x
    x = 3,632,002,630.95/80,119.98
  6. Step 6: Final answer
    x = 45,332.05

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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.