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Finding the Fourth Proportional to 270,659.92, 406,028.88 and 83,686

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Solution

The fourth proportional to 270,659.92, 406,028.88 and 83,686 is: 125,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,659.92 : 406,028.88 = 83,686 : x
  2. Step 2: Convert to fraction form
    270,659.92/406,028.88 = 83,686/x
  3. Step 3: Cross multiply
    270,659.92x = 406,028.88 × 83,686
  4. Step 4: Simplify right side
    270,659.92x = 33,978,932,851.68
  5. Step 5: Solve for x
    x = 33,978,932,851.68/270,659.92
  6. Step 6: Final answer
    x = 125,541.06

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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.