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Finding the Fourth Proportional to 198,049, 297,075.94 and 73,390

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Solution

The fourth proportional to 198,049, 297,075.94 and 73,390 is: 110,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,049 : 297,075.94 = 73,390 : x
  2. Step 2: Convert to fraction form
    198,049/297,075.94 = 73,390/x
  3. Step 3: Cross multiply
    198,049x = 297,075.94 × 73,390
  4. Step 4: Simplify right side
    198,049x = 21,802,403,236.60
  5. Step 5: Solve for x
    x = 21,802,403,236.60/198,049
  6. Step 6: Final answer
    x = 110,085.90

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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.