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Finding the Fourth Proportional to 274,813.62, 412,200.72 and 85,269.12

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Solution

The fourth proportional to 274,813.62, 412,200.72 and 85,269.12 is: 127,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,813.62 : 412,200.72 = 85,269.12 : x
  2. Step 2: Convert to fraction form
    274,813.62/412,200.72 = 85,269.12/x
  3. Step 3: Cross multiply
    274,813.62x = 412,200.72 × 85,269.12
  4. Step 4: Simplify right side
    274,813.62x = 35,147,992,657.77
  5. Step 5: Solve for x
    x = 35,147,992,657.77/274,813.62
  6. Step 6: Final answer
    x = 127,897.56

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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.