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Finding the Fourth Proportional to 270,971.36, 406,345.78 and 81,365.48

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Solution

The fourth proportional to 270,971.36, 406,345.78 and 81,365.48 is: 122,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,971.36 : 406,345.78 = 81,365.48 : x
  2. Step 2: Convert to fraction form
    270,971.36/406,345.78 = 81,365.48/x
  3. Step 3: Cross multiply
    270,971.36x = 406,345.78 × 81,365.48
  4. Step 4: Simplify right side
    270,971.36x = 33,062,519,435.67
  5. Step 5: Solve for x
    x = 33,062,519,435.67/270,971.36
  6. Step 6: Final answer
    x = 122,014.81

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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.