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Finding the Fourth Proportional to 76,516, 114,778.32 and 27,268

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Solution

The fourth proportional to 76,516, 114,778.32 and 27,268 is: 40,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516 : 114,778.32 = 27,268 : x
  2. Step 2: Convert to fraction form
    76,516/114,778.32 = 27,268/x
  3. Step 3: Cross multiply
    76,516x = 114,778.32 × 27,268
  4. Step 4: Simplify right side
    76,516x = 3,129,775,229.76
  5. Step 5: Solve for x
    x = 3,129,775,229.76/76,516
  6. Step 6: Final answer
    x = 40,903.54

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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.