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Finding the Fourth Proportional to 172,721.31, 238,355.90 and 100,138.28

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Solution

The fourth proportional to 172,721.31, 238,355.90 and 100,138.28 is: 138,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,721.31 : 238,355.90 = 100,138.28 : x
  2. Step 2: Convert to fraction form
    172,721.31/238,355.90 = 100,138.28/x
  3. Step 3: Cross multiply
    172,721.31x = 238,355.90 × 100,138.28
  4. Step 4: Simplify right side
    172,721.31x = 23,868,548,536.90
  5. Step 5: Solve for x
    x = 23,868,548,536.90/172,721.31
  6. Step 6: Final answer
    x = 138,191.10

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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.