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Finding the Fourth Proportional to 144,906.57, 217,078.44 and 81,533.49

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Solution

The fourth proportional to 144,906.57, 217,078.44 and 81,533.49 is: 122,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.57 : 217,078.44 = 81,533.49 : x
  2. Step 2: Convert to fraction form
    144,906.57/217,078.44 = 81,533.49/x
  3. Step 3: Cross multiply
    144,906.57x = 217,078.44 × 81,533.49
  4. Step 4: Simplify right side
    144,906.57x = 17,699,162,816.96
  5. Step 5: Solve for x
    x = 17,699,162,816.96/144,906.57
  6. Step 6: Final answer
    x = 122,141.89

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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.