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Finding the Fourth Proportional to 81,322.09, 121,952.80 and 27,999

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Solution

The fourth proportional to 81,322.09, 121,952.80 and 27,999 is: 41,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,322.09 : 121,952.80 = 27,999 : x
  2. Step 2: Convert to fraction form
    81,322.09/121,952.80 = 27,999/x
  3. Step 3: Cross multiply
    81,322.09x = 121,952.80 × 27,999
  4. Step 4: Simplify right side
    81,322.09x = 3,414,556,447.20
  5. Step 5: Solve for x
    x = 3,414,556,447.20/81,322.09
  6. Step 6: Final answer
    x = 41,988.06

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1.5x scale

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.