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Finding the Fourth Proportional to 97,481.34, 145,889.34 and 81,704.19

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Solution

The fourth proportional to 97,481.34, 145,889.34 and 81,704.19 is: 122,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481.34 : 145,889.34 = 81,704.19 : x
  2. Step 2: Convert to fraction form
    97,481.34/145,889.34 = 81,704.19/x
  3. Step 3: Cross multiply
    97,481.34x = 145,889.34 × 81,704.19
  4. Step 4: Simplify right side
    97,481.34x = 11,919,770,354.33
  5. Step 5: Solve for x
    x = 11,919,770,354.33/97,481.34
  6. Step 6: Final answer
    x = 122,277.46

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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.