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Finding the Fourth Proportional to 69,446, 95,848.44 and 39,638

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Solution

The fourth proportional to 69,446, 95,848.44 and 39,638 is: 54,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446 : 95,848.44 = 39,638 : x
  2. Step 2: Convert to fraction form
    69,446/95,848.44 = 39,638/x
  3. Step 3: Cross multiply
    69,446x = 95,848.44 × 39,638
  4. Step 4: Simplify right side
    69,446x = 3,799,240,464.72
  5. Step 5: Solve for x
    x = 3,799,240,464.72/69,446
  6. Step 6: Final answer
    x = 54,707.84

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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.