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Finding the Fourth Proportional to 198,374.75, 273,762 and 107,734.53

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Solution

The fourth proportional to 198,374.75, 273,762 and 107,734.53 is: 148,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,374.75 : 273,762 = 107,734.53 : x
  2. Step 2: Convert to fraction form
    198,374.75/273,762 = 107,734.53/x
  3. Step 3: Cross multiply
    198,374.75x = 273,762 × 107,734.53
  4. Step 4: Simplify right side
    198,374.75x = 29,493,620,401.86
  5. Step 5: Solve for x
    x = 29,493,620,401.86/198,374.75
  6. Step 6: Final answer
    x = 148,676.29

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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.