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Finding the Fourth Proportional to 201,709.20, 302,628.60 and 135,224.40

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Solution

The fourth proportional to 201,709.20, 302,628.60 and 135,224.40 is: 202,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.20 : 302,628.60 = 135,224.40 : x
  2. Step 2: Convert to fraction form
    201,709.20/302,628.60 = 135,224.40/x
  3. Step 3: Cross multiply
    201,709.20x = 302,628.60 × 135,224.40
  4. Step 4: Simplify right side
    201,709.20x = 40,922,770,857.84
  5. Step 5: Solve for x
    x = 40,922,770,857.84/201,709.20
  6. Step 6: Final answer
    x = 202,880.04

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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.