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Finding the Fourth Proportional to 198,890.69, 298,243.53 and 72,442.90

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Solution

The fourth proportional to 198,890.69, 298,243.53 and 72,442.90 is: 108,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,890.69 : 298,243.53 = 72,442.90 : x
  2. Step 2: Convert to fraction form
    198,890.69/298,243.53 = 72,442.90/x
  3. Step 3: Cross multiply
    198,890.69x = 298,243.53 × 72,442.90
  4. Step 4: Simplify right side
    198,890.69x = 21,605,626,219.44
  5. Step 5: Solve for x
    x = 21,605,626,219.44/198,890.69
  6. Step 6: Final answer
    x = 108,630.66

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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.