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Finding the Fourth Proportional to 269,704.74, 404,416.35 and 80,139

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Solution

The fourth proportional to 269,704.74, 404,416.35 and 80,139 is: 120,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,704.74 : 404,416.35 = 80,139 : x
  2. Step 2: Convert to fraction form
    269,704.74/404,416.35 = 80,139/x
  3. Step 3: Cross multiply
    269,704.74x = 404,416.35 × 80,139
  4. Step 4: Simplify right side
    269,704.74x = 32,409,521,872.65
  5. Step 5: Solve for x
    x = 32,409,521,872.65/269,704.74
  6. Step 6: Final answer
    x = 120,166.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.