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Finding the Fourth Proportional to 198,738, 274,262.76 and 109,314

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Solution

The fourth proportional to 198,738, 274,262.76 and 109,314 is: 150,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,738 : 274,262.76 = 109,314 : x
  2. Step 2: Convert to fraction form
    198,738/274,262.76 = 109,314/x
  3. Step 3: Cross multiply
    198,738x = 274,262.76 × 109,314
  4. Step 4: Simplify right side
    198,738x = 29,980,759,346.64
  5. Step 5: Solve for x
    x = 29,980,759,346.64/198,738
  6. Step 6: Final answer
    x = 150,855.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.