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Finding the Fourth Proportional to 51,723, 71,377.74 and 28,171

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Solution

The fourth proportional to 51,723, 71,377.74 and 28,171 is: 38,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,723 : 71,377.74 = 28,171 : x
  2. Step 2: Convert to fraction form
    51,723/71,377.74 = 28,171/x
  3. Step 3: Cross multiply
    51,723x = 71,377.74 × 28,171
  4. Step 4: Simplify right side
    51,723x = 2,010,782,313.54
  5. Step 5: Solve for x
    x = 2,010,782,313.54/51,723
  6. Step 6: Final answer
    x = 38,875.98

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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.