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Finding the Fourth Proportional to 78,120, 117,199.98 and 22,716

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Solution

The fourth proportional to 78,120, 117,199.98 and 22,716 is: 34,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120 : 117,199.98 = 22,716 : x
  2. Step 2: Convert to fraction form
    78,120/117,199.98 = 22,716/x
  3. Step 3: Cross multiply
    78,120x = 117,199.98 × 22,716
  4. Step 4: Simplify right side
    78,120x = 2,662,314,745.68
  5. Step 5: Solve for x
    x = 2,662,314,745.68/78,120
  6. Step 6: Final answer
    x = 34,079.81

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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.