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Finding the Fourth Proportional to 53,906.92, 80,808.54 and 16,945

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Solution

The fourth proportional to 53,906.92, 80,808.54 and 16,945 is: 25,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.92 : 80,808.54 = 16,945 : x
  2. Step 2: Convert to fraction form
    53,906.92/80,808.54 = 16,945/x
  3. Step 3: Cross multiply
    53,906.92x = 80,808.54 × 16,945
  4. Step 4: Simplify right side
    53,906.92x = 1,369,300,710.30
  5. Step 5: Solve for x
    x = 1,369,300,710.30/53,906.92
  6. Step 6: Final answer
    x = 25,401.20

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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.