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Finding the Fourth Proportional to 198,994, 274,845 and 131,809.36

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Solution

The fourth proportional to 198,994, 274,845 and 131,809.36 is: 182,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,994 : 274,845 = 131,809.36 : x
  2. Step 2: Convert to fraction form
    198,994/274,845 = 131,809.36/x
  3. Step 3: Cross multiply
    198,994x = 274,845 × 131,809.36
  4. Step 4: Simplify right side
    198,994x = 36,227,143,549.20
  5. Step 5: Solve for x
    x = 36,227,143,549.20/198,994
  6. Step 6: Final answer
    x = 182,051.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.