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Finding the Fourth Proportional to 146,880, 202,694.40 and 79,812

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Solution

The fourth proportional to 146,880, 202,694.40 and 79,812 is: 110,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880 : 202,694.40 = 79,812 : x
  2. Step 2: Convert to fraction form
    146,880/202,694.40 = 79,812/x
  3. Step 3: Cross multiply
    146,880x = 202,694.40 × 79,812
  4. Step 4: Simplify right side
    146,880x = 16,177,445,452.80
  5. Step 5: Solve for x
    x = 16,177,445,452.80/146,880
  6. Step 6: Final answer
    x = 110,140.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.