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Finding the Fourth Proportional to 169,171.98, 253,676.94 and 56,821

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Solution

The fourth proportional to 169,171.98, 253,676.94 and 56,821 is: 85,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,171.98 : 253,676.94 = 56,821 : x
  2. Step 2: Convert to fraction form
    169,171.98/253,676.94 = 56,821/x
  3. Step 3: Cross multiply
    169,171.98x = 253,676.94 × 56,821
  4. Step 4: Simplify right side
    169,171.98x = 14,414,177,407.74
  5. Step 5: Solve for x
    x = 14,414,177,407.74/169,171.98
  6. Step 6: Final answer
    x = 85,204.28

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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.