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Finding the Fourth Proportional to 55,069, 82,603.50 and 18,135.88

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Solution

The fourth proportional to 55,069, 82,603.50 and 18,135.88 is: 27,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,069 : 82,603.50 = 18,135.88 : x
  2. Step 2: Convert to fraction form
    55,069/82,603.50 = 18,135.88/x
  3. Step 3: Cross multiply
    55,069x = 82,603.50 × 18,135.88
  4. Step 4: Simplify right side
    55,069x = 1,498,087,163.58
  5. Step 5: Solve for x
    x = 1,498,087,163.58/55,069
  6. Step 6: Final answer
    x = 27,203.82

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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.