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Finding the Fourth Proportional to 199,021.78, 274,652.69 and 112,974.27

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Solution

The fourth proportional to 199,021.78, 274,652.69 and 112,974.27 is: 155,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,021.78 : 274,652.69 = 112,974.27 : x
  2. Step 2: Convert to fraction form
    199,021.78/274,652.69 = 112,974.27/x
  3. Step 3: Cross multiply
    199,021.78x = 274,652.69 × 112,974.27
  4. Step 4: Simplify right side
    199,021.78x = 31,028,686,492.80
  5. Step 5: Solve for x
    x = 31,028,686,492.80/199,021.78
  6. Step 6: Final answer
    x = 155,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.