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Finding the Fourth Proportional to 270,054.09, 405,335.39 and 137,029.82

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Solution

The fourth proportional to 270,054.09, 405,335.39 and 137,029.82 is: 205,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,054.09 : 405,335.39 = 137,029.82 : x
  2. Step 2: Convert to fraction form
    270,054.09/405,335.39 = 137,029.82/x
  3. Step 3: Cross multiply
    270,054.09x = 405,335.39 × 137,029.82
  4. Step 4: Simplify right side
    270,054.09x = 55,543,032,819.50
  5. Step 5: Solve for x
    x = 55,543,032,819.50/270,054.09
  6. Step 6: Final answer
    x = 205,673.73

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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.