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Finding the Fourth Proportional to 169,213.20, 253,641.16 and 56,786.80

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Solution

The fourth proportional to 169,213.20, 253,641.16 and 56,786.80 is: 85,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,213.20 : 253,641.16 = 56,786.80 : x
  2. Step 2: Convert to fraction form
    169,213.20/253,641.16 = 56,786.80/x
  3. Step 3: Cross multiply
    169,213.20x = 253,641.16 × 56,786.80
  4. Step 4: Simplify right side
    169,213.20x = 14,403,469,824.69
  5. Step 5: Solve for x
    x = 14,403,469,824.69/169,213.20
  6. Step 6: Final answer
    x = 85,120.25

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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.