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Finding the Fourth Proportional to 80,000.27, 120,000.41 and 20,835.76

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Solution

The fourth proportional to 80,000.27, 120,000.41 and 20,835.76 is: 31,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,000.27 : 120,000.41 = 20,835.76 : x
  2. Step 2: Convert to fraction form
    80,000.27/120,000.41 = 20,835.76/x
  3. Step 3: Cross multiply
    80,000.27x = 120,000.41 × 20,835.76
  4. Step 4: Simplify right side
    80,000.27x = 2,500,299,742.66
  5. Step 5: Solve for x
    x = 2,500,299,742.66/80,000.27
  6. Step 6: Final answer
    x = 31,253.64

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1.5x scale

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.