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Finding the Fourth Proportional to 51,872.34, 71,619.14 and 39,751.37

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Solution

The fourth proportional to 51,872.34, 71,619.14 and 39,751.37 is: 54,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872.34 : 71,619.14 = 39,751.37 : x
  2. Step 2: Convert to fraction form
    51,872.34/71,619.14 = 39,751.37/x
  3. Step 3: Cross multiply
    51,872.34x = 71,619.14 × 39,751.37
  4. Step 4: Simplify right side
    51,872.34x = 2,846,958,674.50
  5. Step 5: Solve for x
    x = 2,846,958,674.50/51,872.34
  6. Step 6: Final answer
    x = 54,883.95

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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.