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Finding the Fourth Proportional to 270,118.15, 405,431.47 and 137,093.88

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Solution

The fourth proportional to 270,118.15, 405,431.47 and 137,093.88 is: 205,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,118.15 : 405,431.47 = 137,093.88 : x
  2. Step 2: Convert to fraction form
    270,118.15/405,431.47 = 137,093.88/x
  3. Step 3: Cross multiply
    270,118.15x = 405,431.47 × 137,093.88
  4. Step 4: Simplify right side
    270,118.15x = 55,582,173,296.40
  5. Step 5: Solve for x
    x = 55,582,173,296.40/270,118.15
  6. Step 6: Final answer
    x = 205,769.86

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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.