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Finding the Fourth Proportional to 55,410.75, 83,116.13 and 13,857.75

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Solution

The fourth proportional to 55,410.75, 83,116.13 and 13,857.75 is: 20,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410.75 : 83,116.13 = 13,857.75 : x
  2. Step 2: Convert to fraction form
    55,410.75/83,116.13 = 13,857.75/x
  3. Step 3: Cross multiply
    55,410.75x = 83,116.13 × 13,857.75
  4. Step 4: Simplify right side
    55,410.75x = 1,151,802,481.22
  5. Step 5: Solve for x
    x = 1,151,802,481.22/55,410.75
  6. Step 6: Final answer
    x = 20,786.63

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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.