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Finding the Fourth Proportional to 208,503.17, 312,636.26 and 82,074.94

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Solution

The fourth proportional to 208,503.17, 312,636.26 and 82,074.94 is: 123,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,503.17 : 312,636.26 = 82,074.94 : x
  2. Step 2: Convert to fraction form
    208,503.17/312,636.26 = 82,074.94/x
  3. Step 3: Cross multiply
    208,503.17x = 312,636.26 × 82,074.94
  4. Step 4: Simplify right side
    208,503.17x = 25,659,601,704.92
  5. Step 5: Solve for x
    x = 25,659,601,704.92/208,503.17
  6. Step 6: Final answer
    x = 123,065.76

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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.