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Finding the Fourth Proportional to 261,768.84, 361,231.16 and 159,964.56

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Solution

The fourth proportional to 261,768.84, 361,231.16 and 159,964.56 is: 220,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,768.84 : 361,231.16 = 159,964.56 : x
  2. Step 2: Convert to fraction form
    261,768.84/361,231.16 = 159,964.56/x
  3. Step 3: Cross multiply
    261,768.84x = 361,231.16 × 159,964.56
  4. Step 4: Simplify right side
    261,768.84x = 57,784,183,567.69
  5. Step 5: Solve for x
    x = 57,784,183,567.69/261,768.84
  6. Step 6: Final answer
    x = 220,745.08

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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.