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Finding the Fourth Proportional to 30,067, 45,100.62 and 8,179

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Solution

The fourth proportional to 30,067, 45,100.62 and 8,179 is: 12,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067 : 45,100.62 = 8,179 : x
  2. Step 2: Convert to fraction form
    30,067/45,100.62 = 8,179/x
  3. Step 3: Cross multiply
    30,067x = 45,100.62 × 8,179
  4. Step 4: Simplify right side
    30,067x = 368,877,970.98
  5. Step 5: Solve for x
    x = 368,877,970.98/30,067
  6. Step 6: Final answer
    x = 12,268.53

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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.