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Finding the Fourth Proportional to 208,754.56, 312,738.16 and 161,777.84

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Solution

The fourth proportional to 208,754.56, 312,738.16 and 161,777.84 is: 242,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,754.56 : 312,738.16 = 161,777.84 : x
  2. Step 2: Convert to fraction form
    208,754.56/312,738.16 = 161,777.84/x
  3. Step 3: Cross multiply
    208,754.56x = 312,738.16 × 161,777.84
  4. Step 4: Simplify right side
    208,754.56x = 50,594,104,010.37
  5. Step 5: Solve for x
    x = 50,594,104,010.37/208,754.56
  6. Step 6: Final answer
    x = 242,361.67

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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.