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Finding the Fourth Proportional to 172,153.92, 258,180.66 and 66,947.88

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Solution

The fourth proportional to 172,153.92, 258,180.66 and 66,947.88 is: 100,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,153.92 : 258,180.66 = 66,947.88 : x
  2. Step 2: Convert to fraction form
    172,153.92/258,180.66 = 66,947.88/x
  3. Step 3: Cross multiply
    172,153.92x = 258,180.66 × 66,947.88
  4. Step 4: Simplify right side
    172,153.92x = 17,284,647,844.00
  5. Step 5: Solve for x
    x = 17,284,647,844.00/172,153.92
  6. Step 6: Final answer
    x = 100,402.29

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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.