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Finding the Fourth Proportional to 270,605.64, 405,794.16 and 81,092.97

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Solution

The fourth proportional to 270,605.64, 405,794.16 and 81,092.97 is: 121,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,605.64 : 405,794.16 = 81,092.97 : x
  2. Step 2: Convert to fraction form
    270,605.64/405,794.16 = 81,092.97/x
  3. Step 3: Cross multiply
    270,605.64x = 405,794.16 × 81,092.97
  4. Step 4: Simplify right side
    270,605.64x = 32,907,053,643.06
  5. Step 5: Solve for x
    x = 32,907,053,643.06/270,605.64
  6. Step 6: Final answer
    x = 121,605.20

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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.