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Finding the Fourth Proportional to 198,898.49, 298,348.54 and 80,572.07

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Solution

The fourth proportional to 198,898.49, 298,348.54 and 80,572.07 is: 120,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,898.49 : 298,348.54 = 80,572.07 : x
  2. Step 2: Convert to fraction form
    198,898.49/298,348.54 = 80,572.07/x
  3. Step 3: Cross multiply
    198,898.49x = 298,348.54 × 80,572.07
  4. Step 4: Simplify right side
    198,898.49x = 24,038,559,449.28
  5. Step 5: Solve for x
    x = 24,038,559,449.28/198,898.49
  6. Step 6: Final answer
    x = 120,858.43

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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.