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Finding the Fourth Proportional to 85,447.60, 128,193.80 and 32,858.80

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Solution

The fourth proportional to 85,447.60, 128,193.80 and 32,858.80 is: 49,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.60 : 128,193.80 = 32,858.80 : x
  2. Step 2: Convert to fraction form
    85,447.60/128,193.80 = 32,858.80/x
  3. Step 3: Cross multiply
    85,447.60x = 128,193.80 × 32,858.80
  4. Step 4: Simplify right side
    85,447.60x = 4,212,294,435.44
  5. Step 5: Solve for x
    x = 4,212,294,435.44/85,447.60
  6. Step 6: Final answer
    x = 49,296.81

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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.