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Finding the Fourth Proportional to 198,907.64, 274,498.49 and 122,470.84

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Solution

The fourth proportional to 198,907.64, 274,498.49 and 122,470.84 is: 169,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,907.64 : 274,498.49 = 122,470.84 : x
  2. Step 2: Convert to fraction form
    198,907.64/274,498.49 = 122,470.84/x
  3. Step 3: Cross multiply
    198,907.64x = 274,498.49 × 122,470.84
  4. Step 4: Simplify right side
    198,907.64x = 33,618,059,065.38
  5. Step 5: Solve for x
    x = 33,618,059,065.38/198,907.64
  6. Step 6: Final answer
    x = 169,013.41

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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.