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Finding the Fourth Proportional to 198,377.78, 297,437.34 and 71,994.20

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Solution

The fourth proportional to 198,377.78, 297,437.34 and 71,994.20 is: 107,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,377.78 : 297,437.34 = 71,994.20 : x
  2. Step 2: Convert to fraction form
    198,377.78/297,437.34 = 71,994.20/x
  3. Step 3: Cross multiply
    198,377.78x = 297,437.34 × 71,994.20
  4. Step 4: Simplify right side
    198,377.78x = 21,413,763,343.43
  5. Step 5: Solve for x
    x = 21,413,763,343.43/198,377.78
  6. Step 6: Final answer
    x = 107,944.36

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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.