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Finding the Fourth Proportional to 199,414, 275,210.76 and 109,990

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Solution

The fourth proportional to 199,414, 275,210.76 and 109,990 is: 151,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414 : 275,210.76 = 109,990 : x
  2. Step 2: Convert to fraction form
    199,414/275,210.76 = 109,990/x
  3. Step 3: Cross multiply
    199,414x = 275,210.76 × 109,990
  4. Step 4: Simplify right side
    199,414x = 30,270,431,492.40
  5. Step 5: Solve for x
    x = 30,270,431,492.40/199,414
  6. Step 6: Final answer
    x = 151,796.92

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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.