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Finding the Fourth Proportional to 198,689.40, 297,645.30 and 119,568.60

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Solution

The fourth proportional to 198,689.40, 297,645.30 and 119,568.60 is: 179,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.40 : 297,645.30 = 119,568.60 : x
  2. Step 2: Convert to fraction form
    198,689.40/297,645.30 = 119,568.60/x
  3. Step 3: Cross multiply
    198,689.40x = 297,645.30 × 119,568.60
  4. Step 4: Simplify right side
    198,689.40x = 35,589,031,817.58
  5. Step 5: Solve for x
    x = 35,589,031,817.58/198,689.40
  6. Step 6: Final answer
    x = 179,118.93

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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.