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Finding the Fourth Proportional to 172,843.02, 238,576.09 and 100,264.25

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Solution

The fourth proportional to 172,843.02, 238,576.09 and 100,264.25 is: 138,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,843.02 : 238,576.09 = 100,264.25 : x
  2. Step 2: Convert to fraction form
    172,843.02/238,576.09 = 100,264.25/x
  3. Step 3: Cross multiply
    172,843.02x = 238,576.09 × 100,264.25
  4. Step 4: Simplify right side
    172,843.02x = 23,920,653,375.78
  5. Step 5: Solve for x
    x = 23,920,653,375.78/172,843.02
  6. Step 6: Final answer
    x = 138,395.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.