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Finding the Fourth Proportional to 198,262.80, 297,394.74 and 139,361.94

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Solution

The fourth proportional to 198,262.80, 297,394.74 and 139,361.94 is: 209,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,262.80 : 297,394.74 = 139,361.94 : x
  2. Step 2: Convert to fraction form
    198,262.80/297,394.74 = 139,361.94/x
  3. Step 3: Cross multiply
    198,262.80x = 297,394.74 × 139,361.94
  4. Step 4: Simplify right side
    198,262.80x = 41,445,507,912.20
  5. Step 5: Solve for x
    x = 41,445,507,912.20/198,262.80
  6. Step 6: Final answer
    x = 209,043.29

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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.