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Finding the Fourth Proportional to 171,906.76, 258,029.84 and 129,063.17

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Solution

The fourth proportional to 171,906.76, 258,029.84 and 129,063.17 is: 193,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,906.76 : 258,029.84 = 129,063.17 : x
  2. Step 2: Convert to fraction form
    171,906.76/258,029.84 = 129,063.17/x
  3. Step 3: Cross multiply
    171,906.76x = 258,029.84 × 129,063.17
  4. Step 4: Simplify right side
    171,906.76x = 33,302,148,459.68
  5. Step 5: Solve for x
    x = 33,302,148,459.68/171,906.76
  6. Step 6: Final answer
    x = 193,722.16

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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.