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Finding the Fourth Proportional to 65,489.34, 90,375.30 and 37,194.96

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Solution

The fourth proportional to 65,489.34, 90,375.30 and 37,194.96 is: 51,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489.34 : 90,375.30 = 37,194.96 : x
  2. Step 2: Convert to fraction form
    65,489.34/90,375.30 = 37,194.96/x
  3. Step 3: Cross multiply
    65,489.34x = 90,375.30 × 37,194.96
  4. Step 4: Simplify right side
    65,489.34x = 3,361,505,668.49
  5. Step 5: Solve for x
    x = 3,361,505,668.49/65,489.34
  6. Step 6: Final answer
    x = 51,329.05

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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.