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Finding the Fourth Proportional to 55,201.88, 82,802.82 and 17,764.87

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Solution

The fourth proportional to 55,201.88, 82,802.82 and 17,764.87 is: 26,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.88 : 82,802.82 = 17,764.87 : x
  2. Step 2: Convert to fraction form
    55,201.88/82,802.82 = 17,764.87/x
  3. Step 3: Cross multiply
    55,201.88x = 82,802.82 × 17,764.87
  4. Step 4: Simplify right side
    55,201.88x = 1,470,981,133.58
  5. Step 5: Solve for x
    x = 1,470,981,133.58/55,201.88
  6. Step 6: Final answer
    x = 26,647.30

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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.