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Finding the Fourth Proportional to 192,114.40, 288,171.60 and 103,540.90

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Solution

The fourth proportional to 192,114.40, 288,171.60 and 103,540.90 is: 155,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,114.40 : 288,171.60 = 103,540.90 : x
  2. Step 2: Convert to fraction form
    192,114.40/288,171.60 = 103,540.90/x
  3. Step 3: Cross multiply
    192,114.40x = 288,171.60 × 103,540.90
  4. Step 4: Simplify right side
    192,114.40x = 29,837,546,818.44
  5. Step 5: Solve for x
    x = 29,837,546,818.44/192,114.40
  6. Step 6: Final answer
    x = 155,311.35

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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.