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Finding the Fourth Proportional to 198,176, 297,264 and 66,848

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Solution

The fourth proportional to 198,176, 297,264 and 66,848 is: 100,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,176 : 297,264 = 66,848 : x
  2. Step 2: Convert to fraction form
    198,176/297,264 = 66,848/x
  3. Step 3: Cross multiply
    198,176x = 297,264 × 66,848
  4. Step 4: Simplify right side
    198,176x = 19,871,503,872
  5. Step 5: Solve for x
    x = 19,871,503,872/198,176
  6. Step 6: Final answer
    x = 100,272

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.