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Finding the Fourth Proportional to 199,068, 274,713.84 and 109,644

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Solution

The fourth proportional to 199,068, 274,713.84 and 109,644 is: 151,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,068 : 274,713.84 = 109,644 : x
  2. Step 2: Convert to fraction form
    199,068/274,713.84 = 109,644/x
  3. Step 3: Cross multiply
    199,068x = 274,713.84 × 109,644
  4. Step 4: Simplify right side
    199,068x = 30,120,724,272.96
  5. Step 5: Solve for x
    x = 30,120,724,272.96/199,068
  6. Step 6: Final answer
    x = 151,308.72

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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.