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Finding the Fourth Proportional to 30,106, 45,159 and 8,218

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Solution

The fourth proportional to 30,106, 45,159 and 8,218 is: 12,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106 : 45,159 = 8,218 : x
  2. Step 2: Convert to fraction form
    30,106/45,159 = 8,218/x
  3. Step 3: Cross multiply
    30,106x = 45,159 × 8,218
  4. Step 4: Simplify right side
    30,106x = 371,116,662
  5. Step 5: Solve for x
    x = 371,116,662/30,106
  6. Step 6: Final answer
    x = 12,327

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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.