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Finding the Fourth Proportional to 221,768.55, 306,040.72 and 119,794.01

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Solution

The fourth proportional to 221,768.55, 306,040.72 and 119,794.01 is: 165,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,768.55 : 306,040.72 = 119,794.01 : x
  2. Step 2: Convert to fraction form
    221,768.55/306,040.72 = 119,794.01/x
  3. Step 3: Cross multiply
    221,768.55x = 306,040.72 × 119,794.01
  4. Step 4: Simplify right side
    221,768.55x = 36,661,845,072.09
  5. Step 5: Solve for x
    x = 36,661,845,072.09/221,768.55
  6. Step 6: Final answer
    x = 165,315.80

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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.