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Finding the Fourth Proportional to 215,188, 322,833.84 and 67,444

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Solution

The fourth proportional to 215,188, 322,833.84 and 67,444 is: 101,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,188 : 322,833.84 = 67,444 : x
  2. Step 2: Convert to fraction form
    215,188/322,833.84 = 67,444/x
  3. Step 3: Cross multiply
    215,188x = 322,833.84 × 67,444
  4. Step 4: Simplify right side
    215,188x = 21,773,205,504.96
  5. Step 5: Solve for x
    x = 21,773,205,504.96/215,188
  6. Step 6: Final answer
    x = 101,182.25

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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.