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Finding the Fourth Proportional to 247,914, 371,723.10 and 98,175.78

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Solution

The fourth proportional to 247,914, 371,723.10 and 98,175.78 is: 147,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,914 : 371,723.10 = 98,175.78 : x
  2. Step 2: Convert to fraction form
    247,914/371,723.10 = 98,175.78/x
  3. Step 3: Cross multiply
    247,914x = 371,723.10 × 98,175.78
  4. Step 4: Simplify right side
    247,914x = 36,494,205,286.52
  5. Step 5: Solve for x
    x = 36,494,205,286.52/247,914
  6. Step 6: Final answer
    x = 147,205.10

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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.