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Finding the Fourth Proportional to 208,509.31, 312,788.22 and 75,452.23

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Solution

The fourth proportional to 208,509.31, 312,788.22 and 75,452.23 is: 113,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.31 : 312,788.22 = 75,452.23 : x
  2. Step 2: Convert to fraction form
    208,509.31/312,788.22 = 75,452.23/x
  3. Step 3: Cross multiply
    208,509.31x = 312,788.22 × 75,452.23
  4. Step 4: Simplify right side
    208,509.31x = 23,600,568,716.73
  5. Step 5: Solve for x
    x = 23,600,568,716.73/208,509.31
  6. Step 6: Final answer
    x = 113,187.12

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1.5x scale

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.