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Finding the Fourth Proportional to 51,725, 71,380.50 and 28,173

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Solution

The fourth proportional to 51,725, 71,380.50 and 28,173 is: 38,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725 : 71,380.50 = 28,173 : x
  2. Step 2: Convert to fraction form
    51,725/71,380.50 = 28,173/x
  3. Step 3: Cross multiply
    51,725x = 71,380.50 × 28,173
  4. Step 4: Simplify right side
    51,725x = 2,011,002,826.50
  5. Step 5: Solve for x
    x = 2,011,002,826.50/51,725
  6. Step 6: Final answer
    x = 38,878.74

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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.