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Finding the Fourth Proportional to 45,123, 67,684.50 and 12,291

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Solution

The fourth proportional to 45,123, 67,684.50 and 12,291 is: 18,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123 : 67,684.50 = 12,291 : x
  2. Step 2: Convert to fraction form
    45,123/67,684.50 = 12,291/x
  3. Step 3: Cross multiply
    45,123x = 67,684.50 × 12,291
  4. Step 4: Simplify right side
    45,123x = 831,910,189.50
  5. Step 5: Solve for x
    x = 831,910,189.50/45,123
  6. Step 6: Final answer
    x = 18,436.50

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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.