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Finding the Fourth Proportional to 207,352.85, 311,078.63 and 67,111.47

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Solution

The fourth proportional to 207,352.85, 311,078.63 and 67,111.47 is: 100,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,352.85 : 311,078.63 = 67,111.47 : x
  2. Step 2: Convert to fraction form
    207,352.85/311,078.63 = 67,111.47/x
  3. Step 3: Cross multiply
    207,352.85x = 311,078.63 × 67,111.47
  4. Step 4: Simplify right side
    207,352.85x = 20,876,944,144.89
  5. Step 5: Solve for x
    x = 20,876,944,144.89/207,352.85
  6. Step 6: Final answer
    x = 100,683.18

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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.