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Finding the Fourth Proportional to 321,741.75, 482,615.44 and 81,855.87

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Solution

The fourth proportional to 321,741.75, 482,615.44 and 81,855.87 is: 122,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,741.75 : 482,615.44 = 81,855.87 : x
  2. Step 2: Convert to fraction form
    321,741.75/482,615.44 = 81,855.87/x
  3. Step 3: Cross multiply
    321,741.75x = 482,615.44 × 81,855.87
  4. Step 4: Simplify right side
    321,741.75x = 39,504,907,877.34
  5. Step 5: Solve for x
    x = 39,504,907,877.34/321,741.75
  6. Step 6: Final answer
    x = 122,784.52

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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.