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Finding the Fourth Proportional to 203,450, 280,764.38 and 112,809.79

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Solution

The fourth proportional to 203,450, 280,764.38 and 112,809.79 is: 155,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,450 : 280,764.38 = 112,809.79 : x
  2. Step 2: Convert to fraction form
    203,450/280,764.38 = 112,809.79/x
  3. Step 3: Cross multiply
    203,450x = 280,764.38 × 112,809.79
  4. Step 4: Simplify right side
    203,450x = 31,672,968,779.41
  5. Step 5: Solve for x
    x = 31,672,968,779.41/203,450
  6. Step 6: Final answer
    x = 155,679.37

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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.