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Finding the Fourth Proportional to 80,426.56, 120,680.07 and 36,085

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Solution

The fourth proportional to 80,426.56, 120,680.07 and 36,085 is: 54,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,426.56 : 120,680.07 = 36,085 : x
  2. Step 2: Convert to fraction form
    80,426.56/120,680.07 = 36,085/x
  3. Step 3: Cross multiply
    80,426.56x = 120,680.07 × 36,085
  4. Step 4: Simplify right side
    80,426.56x = 4,354,740,325.95
  5. Step 5: Solve for x
    x = 4,354,740,325.95/80,426.56
  6. Step 6: Final answer
    x = 54,145.55

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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.