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Finding the Fourth Proportional to 55,278.06, 82,917.09 and 13,725.06

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Solution

The fourth proportional to 55,278.06, 82,917.09 and 13,725.06 is: 20,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.06 : 82,917.09 = 13,725.06 : x
  2. Step 2: Convert to fraction form
    55,278.06/82,917.09 = 13,725.06/x
  3. Step 3: Cross multiply
    55,278.06x = 82,917.09 × 13,725.06
  4. Step 4: Simplify right side
    55,278.06x = 1,138,042,035.28
  5. Step 5: Solve for x
    x = 1,138,042,035.28/55,278.06
  6. Step 6: Final answer
    x = 20,587.59

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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.