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Finding the Fourth Proportional to 80,387.84, 120,513.71 and 30,440.40

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Solution

The fourth proportional to 80,387.84, 120,513.71 and 30,440.40 is: 45,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387.84 : 120,513.71 = 30,440.40 : x
  2. Step 2: Convert to fraction form
    80,387.84/120,513.71 = 30,440.40/x
  3. Step 3: Cross multiply
    80,387.84x = 120,513.71 × 30,440.40
  4. Step 4: Simplify right side
    80,387.84x = 3,668,485,537.88
  5. Step 5: Solve for x
    x = 3,668,485,537.88/80,387.84
  6. Step 6: Final answer
    x = 45,634.83

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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.