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Finding the Fourth Proportional to 198,617.38, 274,090.84 and 112,592.59

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Solution

The fourth proportional to 198,617.38, 274,090.84 and 112,592.59 is: 155,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,617.38 : 274,090.84 = 112,592.59 : x
  2. Step 2: Convert to fraction form
    198,617.38/274,090.84 = 112,592.59/x
  3. Step 3: Cross multiply
    198,617.38x = 274,090.84 × 112,592.59
  4. Step 4: Simplify right side
    198,617.38x = 30,860,596,604.17
  5. Step 5: Solve for x
    x = 30,860,596,604.17/198,617.38
  6. Step 6: Final answer
    x = 155,377.12

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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.