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Finding the Fourth Proportional to 270,059.72, 405,343.85 and 137,035.44

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Solution

The fourth proportional to 270,059.72, 405,343.85 and 137,035.44 is: 205,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,059.72 : 405,343.85 = 137,035.44 : x
  2. Step 2: Convert to fraction form
    270,059.72/405,343.85 = 137,035.44/x
  3. Step 3: Cross multiply
    270,059.72x = 405,343.85 × 137,035.44
  4. Step 4: Simplify right side
    270,059.72x = 55,546,472,150.87
  5. Step 5: Solve for x
    x = 55,546,472,150.87/270,059.72
  6. Step 6: Final answer
    x = 205,682.18

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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.