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Finding the Fourth Proportional to 275,121.86, 412,742.18 and 85,578.62

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Solution

The fourth proportional to 275,121.86, 412,742.18 and 85,578.62 is: 128,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,121.86 : 412,742.18 = 85,578.62 : x
  2. Step 2: Convert to fraction form
    275,121.86/412,742.18 = 85,578.62/x
  3. Step 3: Cross multiply
    275,121.86x = 412,742.18 × 85,578.62
  4. Step 4: Simplify right side
    275,121.86x = 35,321,906,180.19
  5. Step 5: Solve for x
    x = 35,321,906,180.19/275,121.86
  6. Step 6: Final answer
    x = 128,386.40

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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.