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Finding the Fourth Proportional to 49,015, 73,522.50 and 12,079

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Solution

The fourth proportional to 49,015, 73,522.50 and 12,079 is: 18,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,015 : 73,522.50 = 12,079 : x
  2. Step 2: Convert to fraction form
    49,015/73,522.50 = 12,079/x
  3. Step 3: Cross multiply
    49,015x = 73,522.50 × 12,079
  4. Step 4: Simplify right side
    49,015x = 888,078,277.50
  5. Step 5: Solve for x
    x = 888,078,277.50/49,015
  6. Step 6: Final answer
    x = 18,118.50

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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.