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Finding the Fourth Proportional to 199,474.82, 275,299.46 and 145,732.94

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Solution

The fourth proportional to 199,474.82, 275,299.46 and 145,732.94 is: 201,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,474.82 : 275,299.46 = 145,732.94 : x
  2. Step 2: Convert to fraction form
    199,474.82/275,299.46 = 145,732.94/x
  3. Step 3: Cross multiply
    199,474.82x = 275,299.46 × 145,732.94
  4. Step 4: Simplify right side
    199,474.82x = 40,120,197,581.05
  5. Step 5: Solve for x
    x = 40,120,197,581.05/199,474.82
  6. Step 6: Final answer
    x = 201,129.14

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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.