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Finding the Fourth Proportional to 77,197, 115,795.50 and 18,829

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Solution

The fourth proportional to 77,197, 115,795.50 and 18,829 is: 28,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197 : 115,795.50 = 18,829 : x
  2. Step 2: Convert to fraction form
    77,197/115,795.50 = 18,829/x
  3. Step 3: Cross multiply
    77,197x = 115,795.50 × 18,829
  4. Step 4: Simplify right side
    77,197x = 2,180,313,469.50
  5. Step 5: Solve for x
    x = 2,180,313,469.50/77,197
  6. Step 6: Final answer
    x = 28,243.50

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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.