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Finding the Fourth Proportional to 80,701.89, 120,926.31 and 51,057.12

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Solution

The fourth proportional to 80,701.89, 120,926.31 and 51,057.12 is: 76,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,701.89 : 120,926.31 = 51,057.12 : x
  2. Step 2: Convert to fraction form
    80,701.89/120,926.31 = 51,057.12/x
  3. Step 3: Cross multiply
    80,701.89x = 120,926.31 × 51,057.12
  4. Step 4: Simplify right side
    80,701.89x = 6,174,149,120.83
  5. Step 5: Solve for x
    x = 6,174,149,120.83/80,701.89
  6. Step 6: Final answer
    x = 76,505.63

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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.