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Finding the Fourth Proportional to 201,609.70, 302,414.55 and 141,475.30

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Solution

The fourth proportional to 201,609.70, 302,414.55 and 141,475.30 is: 212,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,609.70 : 302,414.55 = 141,475.30 : x
  2. Step 2: Convert to fraction form
    201,609.70/302,414.55 = 141,475.30/x
  3. Step 3: Cross multiply
    201,609.70x = 302,414.55 × 141,475.30
  4. Step 4: Simplify right side
    201,609.70x = 42,784,189,185.62
  5. Step 5: Solve for x
    x = 42,784,189,185.62/201,609.70
  6. Step 6: Final answer
    x = 212,212.95

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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.