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Finding the Fourth Proportional to 52,606.85, 78,910.52 and 13,163.85

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Solution

The fourth proportional to 52,606.85, 78,910.52 and 13,163.85 is: 19,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,606.85 : 78,910.52 = 13,163.85 : x
  2. Step 2: Convert to fraction form
    52,606.85/78,910.52 = 13,163.85/x
  3. Step 3: Cross multiply
    52,606.85x = 78,910.52 × 13,163.85
  4. Step 4: Simplify right side
    52,606.85x = 1,038,766,182.88
  5. Step 5: Solve for x
    x = 1,038,766,182.88/52,606.85
  6. Step 6: Final answer
    x = 19,745.84

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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.