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Finding the Fourth Proportional to 80,301.32, 120,410.97 and 29,697.79

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Solution

The fourth proportional to 80,301.32, 120,410.97 and 29,697.79 is: 44,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.32 : 120,410.97 = 29,697.79 : x
  2. Step 2: Convert to fraction form
    80,301.32/120,410.97 = 29,697.79/x
  3. Step 3: Cross multiply
    80,301.32x = 120,410.97 × 29,697.79
  4. Step 4: Simplify right side
    80,301.32x = 3,575,939,399.73
  5. Step 5: Solve for x
    x = 3,575,939,399.73/80,301.32
  6. Step 6: Final answer
    x = 44,531.51

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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.