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Finding the Fourth Proportional to 213,272.44, 319,907.69 and 86,884.49

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Solution

The fourth proportional to 213,272.44, 319,907.69 and 86,884.49 is: 130,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,272.44 : 319,907.69 = 86,884.49 : x
  2. Step 2: Convert to fraction form
    213,272.44/319,907.69 = 86,884.49/x
  3. Step 3: Cross multiply
    213,272.44x = 319,907.69 × 86,884.49
  4. Step 4: Simplify right side
    213,272.44x = 27,795,016,858.07
  5. Step 5: Solve for x
    x = 27,795,016,858.07/213,272.44
  6. Step 6: Final answer
    x = 130,326.34

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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.