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Finding the Fourth Proportional to 172,678.43, 259,005 and 54,383.60

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Solution

The fourth proportional to 172,678.43, 259,005 and 54,383.60 is: 81,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,678.43 : 259,005 = 54,383.60 : x
  2. Step 2: Convert to fraction form
    172,678.43/259,005 = 54,383.60/x
  3. Step 3: Cross multiply
    172,678.43x = 259,005 × 54,383.60
  4. Step 4: Simplify right side
    172,678.43x = 14,085,623,022.98
  5. Step 5: Solve for x
    x = 14,085,623,022.98/172,678.43
  6. Step 6: Final answer
    x = 81,571.41

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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.