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Finding the Fourth Proportional to 250,131.39, 345,180.92 and 135,410

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Solution

The fourth proportional to 250,131.39, 345,180.92 and 135,410 is: 186,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,131.39 : 345,180.92 = 135,410 : x
  2. Step 2: Convert to fraction form
    250,131.39/345,180.92 = 135,410/x
  3. Step 3: Cross multiply
    250,131.39x = 345,180.92 × 135,410
  4. Step 4: Simplify right side
    250,131.39x = 46,740,948,207.94
  5. Step 5: Solve for x
    x = 46,740,948,207.94/250,131.39
  6. Step 6: Final answer
    x = 186,865.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.