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Finding the Fourth Proportional to 51,107.88, 76,661.76 and 14,171.88

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Solution

The fourth proportional to 51,107.88, 76,661.76 and 14,171.88 is: 21,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,107.88 : 76,661.76 = 14,171.88 : x
  2. Step 2: Convert to fraction form
    51,107.88/76,661.76 = 14,171.88/x
  3. Step 3: Cross multiply
    51,107.88x = 76,661.76 × 14,171.88
  4. Step 4: Simplify right side
    51,107.88x = 1,086,441,263.31
  5. Step 5: Solve for x
    x = 1,086,441,263.31/51,107.88
  6. Step 6: Final answer
    x = 21,257.80

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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.