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Finding the Fourth Proportional to 198,883.72, 298,315.84 and 74,215

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Solution

The fourth proportional to 198,883.72, 298,315.84 and 74,215 is: 111,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,883.72 : 298,315.84 = 74,215 : x
  2. Step 2: Convert to fraction form
    198,883.72/298,315.84 = 74,215/x
  3. Step 3: Cross multiply
    198,883.72x = 298,315.84 × 74,215
  4. Step 4: Simplify right side
    198,883.72x = 22,139,510,065.60
  5. Step 5: Solve for x
    x = 22,139,510,065.60/198,883.72
  6. Step 6: Final answer
    x = 111,318.87

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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.