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Finding the Fourth Proportional to 198,571.40, 274,068.41 and 117,983.44

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Solution

The fourth proportional to 198,571.40, 274,068.41 and 117,983.44 is: 162,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.40 : 274,068.41 = 117,983.44 : x
  2. Step 2: Convert to fraction form
    198,571.40/274,068.41 = 117,983.44/x
  3. Step 3: Cross multiply
    198,571.40x = 274,068.41 × 117,983.44
  4. Step 4: Simplify right side
    198,571.40x = 32,335,532,681.82
  5. Step 5: Solve for x
    x = 32,335,532,681.82/198,571.40
  6. Step 6: Final answer
    x = 162,840.84

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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.