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Finding the Fourth Proportional to 75,850.48, 113,711.46 and 31,449.52

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Solution

The fourth proportional to 75,850.48, 113,711.46 and 31,449.52 is: 47,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.48 : 113,711.46 = 31,449.52 : x
  2. Step 2: Convert to fraction form
    75,850.48/113,711.46 = 31,449.52/x
  3. Step 3: Cross multiply
    75,850.48x = 113,711.46 × 31,449.52
  4. Step 4: Simplify right side
    75,850.48x = 3,576,170,835.50
  5. Step 5: Solve for x
    x = 3,576,170,835.50/75,850.48
  6. Step 6: Final answer
    x = 47,147.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.