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Finding the Fourth Proportional to 198,874.24, 298,240.32 and 65,729.92

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Solution

The fourth proportional to 198,874.24, 298,240.32 and 65,729.92 is: 98,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,874.24 : 298,240.32 = 65,729.92 : x
  2. Step 2: Convert to fraction form
    198,874.24/298,240.32 = 65,729.92/x
  3. Step 3: Cross multiply
    198,874.24x = 298,240.32 × 65,729.92
  4. Step 4: Simplify right side
    198,874.24x = 19,603,312,374.37
  5. Step 5: Solve for x
    x = 19,603,312,374.37/198,874.24
  6. Step 6: Final answer
    x = 98,571.40

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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.