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Finding the Fourth Proportional to 69,450, 95,853.96 and 39,642

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Solution

The fourth proportional to 69,450, 95,853.96 and 39,642 is: 54,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,450 : 95,853.96 = 39,642 : x
  2. Step 2: Convert to fraction form
    69,450/95,853.96 = 39,642/x
  3. Step 3: Cross multiply
    69,450x = 95,853.96 × 39,642
  4. Step 4: Simplify right side
    69,450x = 3,799,842,682.32
  5. Step 5: Solve for x
    x = 3,799,842,682.32/69,450
  6. Step 6: Final answer
    x = 54,713.36

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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.