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Finding the Fourth Proportional to 193,428.85, 290,049.96 and 81,078.90

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Solution

The fourth proportional to 193,428.85, 290,049.96 and 81,078.90 is: 121,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,428.85 : 290,049.96 = 81,078.90 : x
  2. Step 2: Convert to fraction form
    193,428.85/290,049.96 = 81,078.90/x
  3. Step 3: Cross multiply
    193,428.85x = 290,049.96 × 81,078.90
  4. Step 4: Simplify right side
    193,428.85x = 23,516,932,303.93
  5. Step 5: Solve for x
    x = 23,516,932,303.93/193,428.85
  6. Step 6: Final answer
    x = 121,579.24

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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.