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Finding the Fourth Proportional to 186,804.64, 279,915.36 and 107,956

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Solution

The fourth proportional to 186,804.64, 279,915.36 and 107,956 is: 161,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804.64 : 279,915.36 = 107,956 : x
  2. Step 2: Convert to fraction form
    186,804.64/279,915.36 = 107,956/x
  3. Step 3: Cross multiply
    186,804.64x = 279,915.36 × 107,956
  4. Step 4: Simplify right side
    186,804.64x = 30,218,542,604.16
  5. Step 5: Solve for x
    x = 30,218,542,604.16/186,804.64
  6. Step 6: Final answer
    x = 161,765.48

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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.