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Finding the Fourth Proportional to 194,745.54, 292,115.27 and 99,921

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Solution

The fourth proportional to 194,745.54, 292,115.27 and 99,921 is: 149,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,745.54 : 292,115.27 = 99,921 : x
  2. Step 2: Convert to fraction form
    194,745.54/292,115.27 = 99,921/x
  3. Step 3: Cross multiply
    194,745.54x = 292,115.27 × 99,921
  4. Step 4: Simplify right side
    194,745.54x = 29,188,450,143.47
  5. Step 5: Solve for x
    x = 29,188,450,143.47/194,745.54
  6. Step 6: Final answer
    x = 149,879.94

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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.