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Finding the Fourth Proportional to 148,817.70, 205,369.97 and 80,836.00

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Solution

The fourth proportional to 148,817.70, 205,369.97 and 80,836.00 is: 111,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,817.70 : 205,369.97 = 80,836.00 : x
  2. Step 2: Convert to fraction form
    148,817.70/205,369.97 = 80,836.00/x
  3. Step 3: Cross multiply
    148,817.70x = 205,369.97 × 80,836.00
  4. Step 4: Simplify right side
    148,817.70x = 16,601,285,977.32
  5. Step 5: Solve for x
    x = 16,601,285,977.32/148,817.70
  6. Step 6: Final answer
    x = 111,554.51

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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.