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Finding the Fourth Proportional to 248,485, 372,785.82 and 82,273

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Solution

The fourth proportional to 248,485, 372,785.82 and 82,273 is: 123,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,485 : 372,785.82 = 82,273 : x
  2. Step 2: Convert to fraction form
    248,485/372,785.82 = 82,273/x
  3. Step 3: Cross multiply
    248,485x = 372,785.82 × 82,273
  4. Step 4: Simplify right side
    248,485x = 30,670,207,768.86
  5. Step 5: Solve for x
    x = 30,670,207,768.86/248,485
  6. Step 6: Final answer
    x = 123,428.81

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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.