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Finding the Fourth Proportional to 198,898.74, 298,348.92 and 80,572.32

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Solution

The fourth proportional to 198,898.74, 298,348.92 and 80,572.32 is: 120,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,898.74 : 298,348.92 = 80,572.32 : x
  2. Step 2: Convert to fraction form
    198,898.74/298,348.92 = 80,572.32/x
  3. Step 3: Cross multiply
    198,898.74x = 298,348.92 × 80,572.32
  4. Step 4: Simplify right side
    198,898.74x = 24,038,662,759.29
  5. Step 5: Solve for x
    x = 24,038,662,759.29/198,898.74
  6. Step 6: Final answer
    x = 120,858.80

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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.