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Finding the Fourth Proportional to 193,629, 290,557.68 and 81,328.98

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Solution

The fourth proportional to 193,629, 290,557.68 and 81,328.98 is: 122,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,629 : 290,557.68 = 81,328.98 : x
  2. Step 2: Convert to fraction form
    193,629/290,557.68 = 81,328.98/x
  3. Step 3: Cross multiply
    193,629x = 290,557.68 × 81,328.98
  4. Step 4: Simplify right side
    193,629x = 23,630,759,745.57
  5. Step 5: Solve for x
    x = 23,630,759,745.57/193,629
  6. Step 6: Final answer
    x = 122,041.43

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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.