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Finding the Fourth Proportional to 49,716.88, 74,575.32 and 12,778

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Solution

The fourth proportional to 49,716.88, 74,575.32 and 12,778 is: 19,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716.88 : 74,575.32 = 12,778 : x
  2. Step 2: Convert to fraction form
    49,716.88/74,575.32 = 12,778/x
  3. Step 3: Cross multiply
    49,716.88x = 74,575.32 × 12,778
  4. Step 4: Simplify right side
    49,716.88x = 952,923,438.96
  5. Step 5: Solve for x
    x = 952,923,438.96/49,716.88
  6. Step 6: Final answer
    x = 19,167

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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.