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Finding the Fourth Proportional to 85,494.64, 128,241.96 and 23,163.52

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Solution

The fourth proportional to 85,494.64, 128,241.96 and 23,163.52 is: 34,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494.64 : 128,241.96 = 23,163.52 : x
  2. Step 2: Convert to fraction form
    85,494.64/128,241.96 = 23,163.52/x
  3. Step 3: Cross multiply
    85,494.64x = 128,241.96 × 23,163.52
  4. Step 4: Simplify right side
    85,494.64x = 2,970,535,205.30
  5. Step 5: Solve for x
    x = 2,970,535,205.30/85,494.64
  6. Step 6: Final answer
    x = 34,745.28

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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.