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Finding the Fourth Proportional to 80,241.31, 120,352.24 and 40,826.71

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Solution

The fourth proportional to 80,241.31, 120,352.24 and 40,826.71 is: 61,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,241.31 : 120,352.24 = 40,826.71 : x
  2. Step 2: Convert to fraction form
    80,241.31/120,352.24 = 40,826.71/x
  3. Step 3: Cross multiply
    80,241.31x = 120,352.24 × 40,826.71
  4. Step 4: Simplify right side
    80,241.31x = 4,913,586,000.33
  5. Step 5: Solve for x
    x = 4,913,586,000.33/80,241.31
  6. Step 6: Final answer
    x = 61,235.12

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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.