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Finding the Fourth Proportional to 69,619, 96,074.34 and 39,811

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Solution

The fourth proportional to 69,619, 96,074.34 and 39,811 is: 54,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,619 : 96,074.34 = 39,811 : x
  2. Step 2: Convert to fraction form
    69,619/96,074.34 = 39,811/x
  3. Step 3: Cross multiply
    69,619x = 96,074.34 × 39,811
  4. Step 4: Simplify right side
    69,619x = 3,824,815,549.74
  5. Step 5: Solve for x
    x = 3,824,815,549.74/69,619
  6. Step 6: Final answer
    x = 54,939.25

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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.