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Finding the Fourth Proportional to 48,751, 73,126.90 and 11,815

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Solution

The fourth proportional to 48,751, 73,126.90 and 11,815 is: 17,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751 : 73,126.90 = 11,815 : x
  2. Step 2: Convert to fraction form
    48,751/73,126.90 = 11,815/x
  3. Step 3: Cross multiply
    48,751x = 73,126.90 × 11,815
  4. Step 4: Simplify right side
    48,751x = 863,994,323.50
  5. Step 5: Solve for x
    x = 863,994,323.50/48,751
  6. Step 6: Final answer
    x = 17,722.60

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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.