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Finding the Fourth Proportional to 199,912.78, 299,720.94 and 121,009.06

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Solution

The fourth proportional to 199,912.78, 299,720.94 and 121,009.06 is: 181,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,912.78 : 299,720.94 = 121,009.06 : x
  2. Step 2: Convert to fraction form
    199,912.78/299,720.94 = 121,009.06/x
  3. Step 3: Cross multiply
    199,912.78x = 299,720.94 × 121,009.06
  4. Step 4: Simplify right side
    199,912.78x = 36,268,949,211.72
  5. Step 5: Solve for x
    x = 36,268,949,211.72/199,912.78
  6. Step 6: Final answer
    x = 181,423.87

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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.