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Finding the Fourth Proportional to 65,481.78, 90,360.03 and 37,182

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Solution

The fourth proportional to 65,481.78, 90,360.03 and 37,182 is: 51,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,481.78 : 90,360.03 = 37,182 : x
  2. Step 2: Convert to fraction form
    65,481.78/90,360.03 = 37,182/x
  3. Step 3: Cross multiply
    65,481.78x = 90,360.03 × 37,182
  4. Step 4: Simplify right side
    65,481.78x = 3,359,766,635.46
  5. Step 5: Solve for x
    x = 3,359,766,635.46/65,481.78
  6. Step 6: Final answer
    x = 51,308.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.