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Finding the Fourth Proportional to 201,672.20, 302,573.10 and 135,187.40

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Solution

The fourth proportional to 201,672.20, 302,573.10 and 135,187.40 is: 202,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672.20 : 302,573.10 = 135,187.40 : x
  2. Step 2: Convert to fraction form
    201,672.20/302,573.10 = 135,187.40/x
  3. Step 3: Cross multiply
    201,672.20x = 302,573.10 × 135,187.40
  4. Step 4: Simplify right side
    201,672.20x = 40,904,070,698.94
  5. Step 5: Solve for x
    x = 40,904,070,698.94/201,672.20
  6. Step 6: Final answer
    x = 202,824.54

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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.