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Finding the Fourth Proportional to 198,621.94, 274,100.06 and 107,978.08

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Solution

The fourth proportional to 198,621.94, 274,100.06 and 107,978.08 is: 149,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,621.94 : 274,100.06 = 107,978.08 : x
  2. Step 2: Convert to fraction form
    198,621.94/274,100.06 = 107,978.08/x
  3. Step 3: Cross multiply
    198,621.94x = 274,100.06 × 107,978.08
  4. Step 4: Simplify right side
    198,621.94x = 29,596,798,206.68
  5. Step 5: Solve for x
    x = 29,596,798,206.68/198,621.94
  6. Step 6: Final answer
    x = 149,010.72

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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.