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Finding the Fourth Proportional to 259,104, 388,656 and 72,120.36

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Solution

The fourth proportional to 259,104, 388,656 and 72,120.36 is: 108,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,104 : 388,656 = 72,120.36 : x
  2. Step 2: Convert to fraction form
    259,104/388,656 = 72,120.36/x
  3. Step 3: Cross multiply
    259,104x = 388,656 × 72,120.36
  4. Step 4: Simplify right side
    259,104x = 28,030,010,636.16
  5. Step 5: Solve for x
    x = 28,030,010,636.16/259,104
  6. Step 6: Final answer
    x = 108,180.54

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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.