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Finding the Fourth Proportional to 247,891, 371,840.84 and 100,147

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Solution

The fourth proportional to 247,891, 371,840.84 and 100,147 is: 150,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,891 : 371,840.84 = 100,147 : x
  2. Step 2: Convert to fraction form
    247,891/371,840.84 = 100,147/x
  3. Step 3: Cross multiply
    247,891x = 371,840.84 × 100,147
  4. Step 4: Simplify right side
    247,891x = 37,238,744,603.48
  5. Step 5: Solve for x
    x = 37,238,744,603.48/247,891
  6. Step 6: Final answer
    x = 150,222.25

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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.