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Finding the Fourth Proportional to 199,911.78, 299,719.44 and 121,008.06

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Solution

The fourth proportional to 199,911.78, 299,719.44 and 121,008.06 is: 181,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,911.78 : 299,719.44 = 121,008.06 : x
  2. Step 2: Convert to fraction form
    199,911.78/299,719.44 = 121,008.06/x
  3. Step 3: Cross multiply
    199,911.78x = 299,719.44 × 121,008.06
  4. Step 4: Simplify right side
    199,911.78x = 36,268,467,978.69
  5. Step 5: Solve for x
    x = 36,268,467,978.69/199,911.78
  6. Step 6: Final answer
    x = 181,422.37

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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.