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Finding the Fourth Proportional to 148,922.70, 205,514.46 and 80,939.70

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Solution

The fourth proportional to 148,922.70, 205,514.46 and 80,939.70 is: 111,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,922.70 : 205,514.46 = 80,939.70 : x
  2. Step 2: Convert to fraction form
    148,922.70/205,514.46 = 80,939.70/x
  3. Step 3: Cross multiply
    148,922.70x = 205,514.46 × 80,939.70
  4. Step 4: Simplify right side
    148,922.70x = 16,634,278,738.06
  5. Step 5: Solve for x
    x = 16,634,278,738.06/148,922.70
  6. Step 6: Final answer
    x = 111,697.40

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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.