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Finding the Fourth Proportional to 148,771.54, 205,306.22 and 80,789.10

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Solution

The fourth proportional to 148,771.54, 205,306.22 and 80,789.10 is: 111,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,771.54 : 205,306.22 = 80,789.10 : x
  2. Step 2: Convert to fraction form
    148,771.54/205,306.22 = 80,789.10/x
  3. Step 3: Cross multiply
    148,771.54x = 205,306.22 × 80,789.10
  4. Step 4: Simplify right side
    148,771.54x = 16,586,505,675.33
  5. Step 5: Solve for x
    x = 16,586,505,675.33/148,771.54
  6. Step 6: Final answer
    x = 111,489.77

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1.5x scale

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.