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Finding the Fourth Proportional to 51,205.96, 76,793.90 and 17,919.82

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Solution

The fourth proportional to 51,205.96, 76,793.90 and 17,919.82 is: 26,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.96 : 76,793.90 = 17,919.82 : x
  2. Step 2: Convert to fraction form
    51,205.96/76,793.90 = 17,919.82/x
  3. Step 3: Cross multiply
    51,205.96x = 76,793.90 × 17,919.82
  4. Step 4: Simplify right side
    51,205.96x = 1,376,132,865.10
  5. Step 5: Solve for x
    x = 1,376,132,865.10/51,205.96
  6. Step 6: Final answer
    x = 26,874.47

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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.