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Finding the Fourth Proportional to 30,092, 45,138 and 8,204

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Solution

The fourth proportional to 30,092, 45,138 and 8,204 is: 12,306

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,092 : 45,138 = 8,204 : x
  2. Step 2: Convert to fraction form
    30,092/45,138 = 8,204/x
  3. Step 3: Cross multiply
    30,092x = 45,138 × 8,204
  4. Step 4: Simplify right side
    30,092x = 370,312,152
  5. Step 5: Solve for x
    x = 370,312,152/30,092
  6. Step 6: Final answer
    x = 12,306

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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.