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Finding the Fourth Proportional to 270,134.33, 405,218.78 and 103,922.33

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Solution

The fourth proportional to 270,134.33, 405,218.78 and 103,922.33 is: 155,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,134.33 : 405,218.78 = 103,922.33 : x
  2. Step 2: Convert to fraction form
    270,134.33/405,218.78 = 103,922.33/x
  3. Step 3: Cross multiply
    270,134.33x = 405,218.78 × 103,922.33
  4. Step 4: Simplify right side
    270,134.33x = 42,111,279,257.75
  5. Step 5: Solve for x
    x = 42,111,279,257.75/270,134.33
  6. Step 6: Final answer
    x = 155,890.14

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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.