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Finding the Fourth Proportional to 205,682.88, 283,846.86 and 145,359.96

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Solution

The fourth proportional to 205,682.88, 283,846.86 and 145,359.96 is: 200,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,682.88 : 283,846.86 = 145,359.96 : x
  2. Step 2: Convert to fraction form
    205,682.88/283,846.86 = 145,359.96/x
  3. Step 3: Cross multiply
    205,682.88x = 283,846.86 × 145,359.96
  4. Step 4: Simplify right side
    205,682.88x = 41,259,968,215.73
  5. Step 5: Solve for x
    x = 41,259,968,215.73/205,682.88
  6. Step 6: Final answer
    x = 200,599.91

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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.