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Finding the Fourth Proportional to 130,512.80, 195,769.20 and 71,463.80

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Solution

The fourth proportional to 130,512.80, 195,769.20 and 71,463.80 is: 107,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512.80 : 195,769.20 = 71,463.80 : x
  2. Step 2: Convert to fraction form
    130,512.80/195,769.20 = 71,463.80/x
  3. Step 3: Cross multiply
    130,512.80x = 195,769.20 × 71,463.80
  4. Step 4: Simplify right side
    130,512.80x = 13,990,410,954.96
  5. Step 5: Solve for x
    x = 13,990,410,954.96/130,512.80
  6. Step 6: Final answer
    x = 107,195.70

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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.