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Finding the Fourth Proportional to 51,991.50, 78,021.81 and 19,159.50

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Solution

The fourth proportional to 51,991.50, 78,021.81 and 19,159.50 is: 28,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.50 : 78,021.81 = 19,159.50 : x
  2. Step 2: Convert to fraction form
    51,991.50/78,021.81 = 19,159.50/x
  3. Step 3: Cross multiply
    51,991.50x = 78,021.81 × 19,159.50
  4. Step 4: Simplify right side
    51,991.50x = 1,494,858,868.70
  5. Step 5: Solve for x
    x = 1,494,858,868.70/51,991.50
  6. Step 6: Final answer
    x = 28,751.99

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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.