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Finding the Fourth Proportional to 258,083.38, 386,977.38 and 100,127.44

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Solution

The fourth proportional to 258,083.38, 386,977.38 and 100,127.44 is: 150,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,083.38 : 386,977.38 = 100,127.44 : x
  2. Step 2: Convert to fraction form
    258,083.38/386,977.38 = 100,127.44/x
  3. Step 3: Cross multiply
    258,083.38x = 386,977.38 × 100,127.44
  4. Step 4: Simplify right side
    258,083.38x = 38,747,054,397.31
  5. Step 5: Solve for x
    x = 38,747,054,397.31/258,083.38
  6. Step 6: Final answer
    x = 150,133.86

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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.