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Finding the Fourth Proportional to 208,519.96, 312,779.97 and 50,748.41

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Solution

The fourth proportional to 208,519.96, 312,779.97 and 50,748.41 is: 76,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,519.96 : 312,779.97 = 50,748.41 : x
  2. Step 2: Convert to fraction form
    208,519.96/312,779.97 = 50,748.41/x
  3. Step 3: Cross multiply
    208,519.96x = 312,779.97 × 50,748.41
  4. Step 4: Simplify right side
    208,519.96x = 15,873,086,157.35
  5. Step 5: Solve for x
    x = 15,873,086,157.35/208,519.96
  6. Step 6: Final answer
    x = 76,122.62

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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.