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Finding the Fourth Proportional to 128,197.32, 192,034.86 and 104,589

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Solution

The fourth proportional to 128,197.32, 192,034.86 and 104,589 is: 156,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,197.32 : 192,034.86 = 104,589 : x
  2. Step 2: Convert to fraction form
    128,197.32/192,034.86 = 104,589/x
  3. Step 3: Cross multiply
    128,197.32x = 192,034.86 × 104,589
  4. Step 4: Simplify right side
    128,197.32x = 20,084,733,972.54
  5. Step 5: Solve for x
    x = 20,084,733,972.54/128,197.32
  6. Step 6: Final answer
    x = 156,670.47

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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.