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Finding the Fourth Proportional to 274,761.60, 411,945.60 and 106,137.60

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Solution

The fourth proportional to 274,761.60, 411,945.60 and 106,137.60 is: 159,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,761.60 : 411,945.60 = 106,137.60 : x
  2. Step 2: Convert to fraction form
    274,761.60/411,945.60 = 106,137.60/x
  3. Step 3: Cross multiply
    274,761.60x = 411,945.60 × 106,137.60
  4. Step 4: Simplify right side
    274,761.60x = 43,722,917,314.56
  5. Step 5: Solve for x
    x = 43,722,917,314.56/274,761.60
  6. Step 6: Final answer
    x = 159,130.38

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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.