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Finding the Fourth Proportional to 51,218.40, 76,906.80 and 27,890.40

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Solution

The fourth proportional to 51,218.40, 76,906.80 and 27,890.40 is: 41,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218.40 : 76,906.80 = 27,890.40 : x
  2. Step 2: Convert to fraction form
    51,218.40/76,906.80 = 27,890.40/x
  3. Step 3: Cross multiply
    51,218.40x = 76,906.80 × 27,890.40
  4. Step 4: Simplify right side
    51,218.40x = 2,144,961,414.72
  5. Step 5: Solve for x
    x = 2,144,961,414.72/51,218.40
  6. Step 6: Final answer
    x = 41,878.73

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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.