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Finding the Fourth Proportional to 275,442.92, 413,166.20 and 75,784.40

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Solution

The fourth proportional to 275,442.92, 413,166.20 and 75,784.40 is: 113,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442.92 : 413,166.20 = 75,784.40 : x
  2. Step 2: Convert to fraction form
    275,442.92/413,166.20 = 75,784.40/x
  3. Step 3: Cross multiply
    275,442.92x = 413,166.20 × 75,784.40
  4. Step 4: Simplify right side
    275,442.92x = 31,311,550,122.53
  5. Step 5: Solve for x
    x = 31,311,550,122.53/275,442.92
  6. Step 6: Final answer
    x = 113,677.09

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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.