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Finding the Fourth Proportional to 66,775.16, 100,165.98 and 55,067

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Solution

The fourth proportional to 66,775.16, 100,165.98 and 55,067 is: 82,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,775.16 : 100,165.98 = 55,067 : x
  2. Step 2: Convert to fraction form
    66,775.16/100,165.98 = 55,067/x
  3. Step 3: Cross multiply
    66,775.16x = 100,165.98 × 55,067
  4. Step 4: Simplify right side
    66,775.16x = 5,515,840,020.66
  5. Step 5: Solve for x
    x = 5,515,840,020.66/66,775.16
  6. Step 6: Final answer
    x = 82,603.17

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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.