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Finding the Fourth Proportional to 263,017.88, 394,529.70 and 76,031

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Solution

The fourth proportional to 263,017.88, 394,529.70 and 76,031 is: 114,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,017.88 : 394,529.70 = 76,031 : x
  2. Step 2: Convert to fraction form
    263,017.88/394,529.70 = 76,031/x
  3. Step 3: Cross multiply
    263,017.88x = 394,529.70 × 76,031
  4. Step 4: Simplify right side
    263,017.88x = 29,996,487,620.70
  5. Step 5: Solve for x
    x = 29,996,487,620.70/263,017.88
  6. Step 6: Final answer
    x = 114,047.33

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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.