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Finding the Fourth Proportional to 198,720, 274,234.32 and 108,075.96

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Solution

The fourth proportional to 198,720, 274,234.32 and 108,075.96 is: 149,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720 : 274,234.32 = 108,075.96 : x
  2. Step 2: Convert to fraction form
    198,720/274,234.32 = 108,075.96/x
  3. Step 3: Cross multiply
    198,720x = 274,234.32 × 108,075.96
  4. Step 4: Simplify right side
    198,720x = 29,638,137,398.95
  5. Step 5: Solve for x
    x = 29,638,137,398.95/198,720
  6. Step 6: Final answer
    x = 149,145.22

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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.