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Finding the Fourth Proportional to 148,197, 204,511.87 and 81,129

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Solution

The fourth proportional to 148,197, 204,511.87 and 81,129 is: 111,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,197 : 204,511.87 = 81,129 : x
  2. Step 2: Convert to fraction form
    148,197/204,511.87 = 81,129/x
  3. Step 3: Cross multiply
    148,197x = 204,511.87 × 81,129
  4. Step 4: Simplify right side
    148,197x = 16,591,843,501.23
  5. Step 5: Solve for x
    x = 16,591,843,501.23/148,197
  6. Step 6: Final answer
    x = 111,958.03

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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.