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Finding the Fourth Proportional to 198,072, 297,120.96 and 87,264

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Solution

The fourth proportional to 198,072, 297,120.96 and 87,264 is: 130,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 297,120.96 = 87,264 : x
  2. Step 2: Convert to fraction form
    198,072/297,120.96 = 87,264/x
  3. Step 3: Cross multiply
    198,072x = 297,120.96 × 87,264
  4. Step 4: Simplify right side
    198,072x = 25,927,963,453.44
  5. Step 5: Solve for x
    x = 25,927,963,453.44/198,072
  6. Step 6: Final answer
    x = 130,901.71

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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.