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Finding the Fourth Proportional to 193,354.31, 290,045.33 and 80,921.34

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Solution

The fourth proportional to 193,354.31, 290,045.33 and 80,921.34 is: 121,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,354.31 : 290,045.33 = 80,921.34 : x
  2. Step 2: Convert to fraction form
    193,354.31/290,045.33 = 80,921.34/x
  3. Step 3: Cross multiply
    193,354.31x = 290,045.33 × 80,921.34
  4. Step 4: Simplify right side
    193,354.31x = 23,470,856,764.34
  5. Step 5: Solve for x
    x = 23,470,856,764.34/193,354.31
  6. Step 6: Final answer
    x = 121,387.81

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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.