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Finding the Fourth Proportional to 275,127.85, 412,751.19 and 85,584.61

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Solution

The fourth proportional to 275,127.85, 412,751.19 and 85,584.61 is: 128,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,127.85 : 412,751.19 = 85,584.61 : x
  2. Step 2: Convert to fraction form
    275,127.85/412,751.19 = 85,584.61/x
  3. Step 3: Cross multiply
    275,127.85x = 412,751.19 × 85,584.61
  4. Step 4: Simplify right side
    275,127.85x = 35,325,149,623.19
  5. Step 5: Solve for x
    x = 35,325,149,623.19/275,127.85
  6. Step 6: Final answer
    x = 128,395.40

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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.