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Finding the Fourth Proportional to 209,197, 313,795.50 and 61,453

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Solution

The fourth proportional to 209,197, 313,795.50 and 61,453 is: 92,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,197 : 313,795.50 = 61,453 : x
  2. Step 2: Convert to fraction form
    209,197/313,795.50 = 61,453/x
  3. Step 3: Cross multiply
    209,197x = 313,795.50 × 61,453
  4. Step 4: Simplify right side
    209,197x = 19,283,674,861.50
  5. Step 5: Solve for x
    x = 19,283,674,861.50/209,197
  6. Step 6: Final answer
    x = 92,179.50

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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.