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Finding the Fourth Proportional to 203,542.80, 305,605.80 and 144,639.60

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Solution

The fourth proportional to 203,542.80, 305,605.80 and 144,639.60 is: 217,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,542.80 : 305,605.80 = 144,639.60 : x
  2. Step 2: Convert to fraction form
    203,542.80/305,605.80 = 144,639.60/x
  3. Step 3: Cross multiply
    203,542.80x = 305,605.80 × 144,639.60
  4. Step 4: Simplify right side
    203,542.80x = 44,202,700,669.68
  5. Step 5: Solve for x
    x = 44,202,700,669.68/203,542.80
  6. Step 6: Final answer
    x = 217,166.61

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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.