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Finding the Fourth Proportional to 80,425.56, 120,678.57 and 36,084

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Solution

The fourth proportional to 80,425.56, 120,678.57 and 36,084 is: 54,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,425.56 : 120,678.57 = 36,084 : x
  2. Step 2: Convert to fraction form
    80,425.56/120,678.57 = 36,084/x
  3. Step 3: Cross multiply
    80,425.56x = 120,678.57 × 36,084
  4. Step 4: Simplify right side
    80,425.56x = 4,354,565,519.88
  5. Step 5: Solve for x
    x = 4,354,565,519.88/80,425.56
  6. Step 6: Final answer
    x = 54,144.05

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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.