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Finding the Fourth Proportional to 270,745.36, 406,187.16 and 81,205

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Solution

The fourth proportional to 270,745.36, 406,187.16 and 81,205 is: 121,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,745.36 : 406,187.16 = 81,205 : x
  2. Step 2: Convert to fraction form
    270,745.36/406,187.16 = 81,205/x
  3. Step 3: Cross multiply
    270,745.36x = 406,187.16 × 81,205
  4. Step 4: Simplify right side
    270,745.36x = 32,984,428,327.80
  5. Step 5: Solve for x
    x = 32,984,428,327.80/270,745.36
  6. Step 6: Final answer
    x = 121,828.23

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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.