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Finding the Fourth Proportional to 75,911.30, 113,871.12 and 31,542.54

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Solution

The fourth proportional to 75,911.30, 113,871.12 and 31,542.54 is: 47,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911.30 : 113,871.12 = 31,542.54 : x
  2. Step 2: Convert to fraction form
    75,911.30/113,871.12 = 31,542.54/x
  3. Step 3: Cross multiply
    75,911.30x = 113,871.12 × 31,542.54
  4. Step 4: Simplify right side
    75,911.30x = 3,591,784,357.44
  5. Step 5: Solve for x
    x = 3,591,784,357.44/75,911.30
  6. Step 6: Final answer
    x = 47,315.54

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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.