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Finding the Fourth Proportional to 198,701.70, 298,052.55 and 119,775.30

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Solution

The fourth proportional to 198,701.70, 298,052.55 and 119,775.30 is: 179,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.70 : 298,052.55 = 119,775.30 : x
  2. Step 2: Convert to fraction form
    198,701.70/298,052.55 = 119,775.30/x
  3. Step 3: Cross multiply
    198,701.70x = 298,052.55 × 119,775.30
  4. Step 4: Simplify right side
    198,701.70x = 35,699,333,592.02
  5. Step 5: Solve for x
    x = 35,699,333,592.02/198,701.70
  6. Step 6: Final answer
    x = 179,662.95

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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.