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Finding the Fourth Proportional to 172,763.92, 258,949.32 and 105,146.79

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Solution

The fourth proportional to 172,763.92, 258,949.32 and 105,146.79 is: 157,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,763.92 : 258,949.32 = 105,146.79 : x
  2. Step 2: Convert to fraction form
    172,763.92/258,949.32 = 105,146.79/x
  3. Step 3: Cross multiply
    172,763.92x = 258,949.32 × 105,146.79
  4. Step 4: Simplify right side
    172,763.92x = 27,227,689,770.68
  5. Step 5: Solve for x
    x = 27,227,689,770.68/172,763.92
  6. Step 6: Final answer
    x = 157,600.56

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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.