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Finding the Fourth Proportional to 215,194, 322,842.84 and 67,450

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Solution

The fourth proportional to 215,194, 322,842.84 and 67,450 is: 101,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,194 : 322,842.84 = 67,450 : x
  2. Step 2: Convert to fraction form
    215,194/322,842.84 = 67,450/x
  3. Step 3: Cross multiply
    215,194x = 322,842.84 × 67,450
  4. Step 4: Simplify right side
    215,194x = 21,775,749,558
  5. Step 5: Solve for x
    x = 21,775,749,558/215,194
  6. Step 6: Final answer
    x = 101,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.