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Finding the Fourth Proportional to 192,621.60, 288,640.80 and 130,219.20

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Solution

The fourth proportional to 192,621.60, 288,640.80 and 130,219.20 is: 195,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,621.60 : 288,640.80 = 130,219.20 : x
  2. Step 2: Convert to fraction form
    192,621.60/288,640.80 = 130,219.20/x
  3. Step 3: Cross multiply
    192,621.60x = 288,640.80 × 130,219.20
  4. Step 4: Simplify right side
    192,621.60x = 37,586,574,063.36
  5. Step 5: Solve for x
    x = 37,586,574,063.36/192,621.60
  6. Step 6: Final answer
    x = 195,131.67

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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.