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Finding the Fourth Proportional to 215,190, 322,836.84 and 67,446

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Solution

The fourth proportional to 215,190, 322,836.84 and 67,446 is: 101,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,190 : 322,836.84 = 67,446 : x
  2. Step 2: Convert to fraction form
    215,190/322,836.84 = 67,446/x
  3. Step 3: Cross multiply
    215,190x = 322,836.84 × 67,446
  4. Step 4: Simplify right side
    215,190x = 21,774,053,510.64
  5. Step 5: Solve for x
    x = 21,774,053,510.64/215,190
  6. Step 6: Final answer
    x = 101,185.25

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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.