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Finding the Fourth Proportional to 198,082, 297,015.44 and 89,951.98

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Solution

The fourth proportional to 198,082, 297,015.44 and 89,951.98 is: 134,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,082 : 297,015.44 = 89,951.98 : x
  2. Step 2: Convert to fraction form
    198,082/297,015.44 = 89,951.98/x
  3. Step 3: Cross multiply
    198,082x = 297,015.44 × 89,951.98
  4. Step 4: Simplify right side
    198,082x = 26,717,126,918.57
  5. Step 5: Solve for x
    x = 26,717,126,918.57/198,082
  6. Step 6: Final answer
    x = 134,879.13

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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.