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Finding the Fourth Proportional to 49,611, 74,416.50 and 12,675

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Solution

The fourth proportional to 49,611, 74,416.50 and 12,675 is: 19,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,611 : 74,416.50 = 12,675 : x
  2. Step 2: Convert to fraction form
    49,611/74,416.50 = 12,675/x
  3. Step 3: Cross multiply
    49,611x = 74,416.50 × 12,675
  4. Step 4: Simplify right side
    49,611x = 943,229,137.50
  5. Step 5: Solve for x
    x = 943,229,137.50/49,611
  6. Step 6: Final answer
    x = 19,012.50

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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.