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Finding the Fourth Proportional to 87,676.56, 120,978.27 and 51,853.50

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Solution

The fourth proportional to 87,676.56, 120,978.27 and 51,853.50 is: 71,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,676.56 : 120,978.27 = 51,853.50 : x
  2. Step 2: Convert to fraction form
    87,676.56/120,978.27 = 51,853.50/x
  3. Step 3: Cross multiply
    87,676.56x = 120,978.27 × 51,853.50
  4. Step 4: Simplify right side
    87,676.56x = 6,273,146,723.45
  5. Step 5: Solve for x
    x = 6,273,146,723.45/87,676.56
  6. Step 6: Final answer
    x = 71,548.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.