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Finding the Fourth Proportional to 201,370.10, 301,709.55 and 131,213.30

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Solution

The fourth proportional to 201,370.10, 301,709.55 and 131,213.30 is: 196,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,370.10 : 301,709.55 = 131,213.30 : x
  2. Step 2: Convert to fraction form
    201,370.10/301,709.55 = 131,213.30/x
  3. Step 3: Cross multiply
    201,370.10x = 301,709.55 × 131,213.30
  4. Step 4: Simplify right side
    201,370.10x = 39,588,305,697.02
  5. Step 5: Solve for x
    x = 39,588,305,697.02/201,370.10
  6. Step 6: Final answer
    x = 196,594.76

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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.