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Finding the Fourth Proportional to 128,512.80, 192,769.16 and 35,018.55

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Solution

The fourth proportional to 128,512.80, 192,769.16 and 35,018.55 is: 52,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,512.80 : 192,769.16 = 35,018.55 : x
  2. Step 2: Convert to fraction form
    128,512.80/192,769.16 = 35,018.55/x
  3. Step 3: Cross multiply
    128,512.80x = 192,769.16 × 35,018.55
  4. Step 4: Simplify right side
    128,512.80x = 6,750,496,292.83
  5. Step 5: Solve for x
    x = 6,750,496,292.83/128,512.80
  6. Step 6: Final answer
    x = 52,527.81

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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.