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Finding the Fourth Proportional to 208,487.82, 312,728.76 and 50,716.56

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Solution

The fourth proportional to 208,487.82, 312,728.76 and 50,716.56 is: 76,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,487.82 : 312,728.76 = 50,716.56 : x
  2. Step 2: Convert to fraction form
    208,487.82/312,728.76 = 50,716.56/x
  3. Step 3: Cross multiply
    208,487.82x = 312,728.76 × 50,716.56
  4. Step 4: Simplify right side
    208,487.82x = 15,860,526,920.27
  5. Step 5: Solve for x
    x = 15,860,526,920.27/208,487.82
  6. Step 6: Final answer
    x = 76,074.12

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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.