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Finding the Fourth Proportional to 209,004, 313,517.88 and 66,861.76

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Solution

The fourth proportional to 209,004, 313,517.88 and 66,861.76 is: 100,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,004 : 313,517.88 = 66,861.76 : x
  2. Step 2: Convert to fraction form
    209,004/313,517.88 = 66,861.76/x
  3. Step 3: Cross multiply
    209,004x = 313,517.88 × 66,861.76
  4. Step 4: Simplify right side
    209,004x = 20,962,357,248.27
  5. Step 5: Solve for x
    x = 20,962,357,248.27/209,004
  6. Step 6: Final answer
    x = 100,296.44

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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.