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Finding the Fourth Proportional to 54,119.96, 81,143.22 and 19,055

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Solution

The fourth proportional to 54,119.96, 81,143.22 and 19,055 is: 28,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,119.96 : 81,143.22 = 19,055 : x
  2. Step 2: Convert to fraction form
    54,119.96/81,143.22 = 19,055/x
  3. Step 3: Cross multiply
    54,119.96x = 81,143.22 × 19,055
  4. Step 4: Simplify right side
    54,119.96x = 1,546,184,057.10
  5. Step 5: Solve for x
    x = 1,546,184,057.10/54,119.96
  6. Step 6: Final answer
    x = 28,569.57

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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.