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Finding the Fourth Proportional to 251,743.60, 378,052.80 and 133,645.60

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Solution

The fourth proportional to 251,743.60, 378,052.80 and 133,645.60 is: 200,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,743.60 : 378,052.80 = 133,645.60 : x
  2. Step 2: Convert to fraction form
    251,743.60/378,052.80 = 133,645.60/x
  3. Step 3: Cross multiply
    251,743.60x = 378,052.80 × 133,645.60
  4. Step 4: Simplify right side
    251,743.60x = 50,525,093,287.68
  5. Step 5: Solve for x
    x = 50,525,093,287.68/251,743.60
  6. Step 6: Final answer
    x = 200,700.61

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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.