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Finding the Fourth Proportional to 208,788.90, 313,181.85 and 51,015.90

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Solution

The fourth proportional to 208,788.90, 313,181.85 and 51,015.90 is: 76,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,788.90 : 313,181.85 = 51,015.90 : x
  2. Step 2: Convert to fraction form
    208,788.90/313,181.85 = 51,015.90/x
  3. Step 3: Cross multiply
    208,788.90x = 313,181.85 × 51,015.90
  4. Step 4: Simplify right side
    208,788.90x = 15,977,253,941.42
  5. Step 5: Solve for x
    x = 15,977,253,941.42/208,788.90
  6. Step 6: Final answer
    x = 76,523.48

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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.