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Finding the Fourth Proportional to 198,570.56, 297,142.32 and 145,849.28

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Solution

The fourth proportional to 198,570.56, 297,142.32 and 145,849.28 is: 218,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,570.56 : 297,142.32 = 145,849.28 : x
  2. Step 2: Convert to fraction form
    198,570.56/297,142.32 = 145,849.28/x
  3. Step 3: Cross multiply
    198,570.56x = 297,142.32 × 145,849.28
  4. Step 4: Simplify right side
    198,570.56x = 43,337,993,429.53
  5. Step 5: Solve for x
    x = 43,337,993,429.53/198,570.56
  6. Step 6: Final answer
    x = 218,249.84

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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.