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Finding the Fourth Proportional to 51,169.08, 76,775.88 and 17,913

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Solution

The fourth proportional to 51,169.08, 76,775.88 and 17,913 is: 26,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169.08 : 76,775.88 = 17,913 : x
  2. Step 2: Convert to fraction form
    51,169.08/76,775.88 = 17,913/x
  3. Step 3: Cross multiply
    51,169.08x = 76,775.88 × 17,913
  4. Step 4: Simplify right side
    51,169.08x = 1,375,286,338.44
  5. Step 5: Solve for x
    x = 1,375,286,338.44/51,169.08
  6. Step 6: Final answer
    x = 26,877.29

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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.