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Finding the Fourth Proportional to 78,196.50, 117,286.44 and 22,035.12

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Solution

The fourth proportional to 78,196.50, 117,286.44 and 22,035.12 is: 33,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,196.50 : 117,286.44 = 22,035.12 : x
  2. Step 2: Convert to fraction form
    78,196.50/117,286.44 = 22,035.12/x
  3. Step 3: Cross multiply
    78,196.50x = 117,286.44 × 22,035.12
  4. Step 4: Simplify right side
    78,196.50x = 2,584,420,779.77
  5. Step 5: Solve for x
    x = 2,584,420,779.77/78,196.50
  6. Step 6: Final answer
    x = 33,050.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.