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Finding the Fourth Proportional to 199,955.30, 300,008.71 and 120,049.07

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Solution

The fourth proportional to 199,955.30, 300,008.71 and 120,049.07 is: 180,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,955.30 : 300,008.71 = 120,049.07 : x
  2. Step 2: Convert to fraction form
    199,955.30/300,008.71 = 120,049.07/x
  3. Step 3: Cross multiply
    199,955.30x = 300,008.71 × 120,049.07
  4. Step 4: Simplify right side
    199,955.30x = 36,015,766,964.97
  5. Step 5: Solve for x
    x = 36,015,766,964.97/199,955.30
  6. Step 6: Final answer
    x = 180,119.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.