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Finding the Fourth Proportional to 80,229.68, 120,302.90 and 35,232.56

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Solution

The fourth proportional to 80,229.68, 120,302.90 and 35,232.56 is: 52,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,229.68 : 120,302.90 = 35,232.56 : x
  2. Step 2: Convert to fraction form
    80,229.68/120,302.90 = 35,232.56/x
  3. Step 3: Cross multiply
    80,229.68x = 120,302.90 × 35,232.56
  4. Step 4: Simplify right side
    80,229.68x = 4,238,579,142.42
  5. Step 5: Solve for x
    x = 4,238,579,142.42/80,229.68
  6. Step 6: Final answer
    x = 52,830.56

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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.