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Finding the Fourth Proportional to 78,119.25, 117,198.72 and 22,715.25

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Solution

The fourth proportional to 78,119.25, 117,198.72 and 22,715.25 is: 34,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.25 : 117,198.72 = 22,715.25 : x
  2. Step 2: Convert to fraction form
    78,119.25/117,198.72 = 22,715.25/x
  3. Step 3: Cross multiply
    78,119.25x = 117,198.72 × 22,715.25
  4. Step 4: Simplify right side
    78,119.25x = 2,662,198,224.48
  5. Step 5: Solve for x
    x = 2,662,198,224.48/78,119.25
  6. Step 6: Final answer
    x = 34,078.65

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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.