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Finding the Fourth Proportional to 45,217, 67,827.42 and 12,385

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Solution

The fourth proportional to 45,217, 67,827.42 and 12,385 is: 18,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217 : 67,827.42 = 12,385 : x
  2. Step 2: Convert to fraction form
    45,217/67,827.42 = 12,385/x
  3. Step 3: Cross multiply
    45,217x = 67,827.42 × 12,385
  4. Step 4: Simplify right side
    45,217x = 840,042,596.70
  5. Step 5: Solve for x
    x = 840,042,596.70/45,217
  6. Step 6: Final answer
    x = 18,578.03

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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.