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Finding the Fourth Proportional to 171,884.92, 257,834.34 and 81,881.34

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Solution

The fourth proportional to 171,884.92, 257,834.34 and 81,881.34 is: 122,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,884.92 : 257,834.34 = 81,881.34 : x
  2. Step 2: Convert to fraction form
    171,884.92/257,834.34 = 81,881.34/x
  3. Step 3: Cross multiply
    171,884.92x = 257,834.34 × 81,881.34
  4. Step 4: Simplify right side
    171,884.92x = 21,111,821,257.22
  5. Step 5: Solve for x
    x = 21,111,821,257.22/171,884.92
  6. Step 6: Final answer
    x = 122,825.33

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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.