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Finding the Fourth Proportional to 203,453.06, 280,765.79 and 112,815.41

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Solution

The fourth proportional to 203,453.06, 280,765.79 and 112,815.41 is: 155,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,453.06 : 280,765.79 = 112,815.41 : x
  2. Step 2: Convert to fraction form
    203,453.06/280,765.79 = 112,815.41/x
  3. Step 3: Cross multiply
    203,453.06x = 280,765.79 × 112,815.41
  4. Step 4: Simplify right side
    203,453.06x = 31,674,705,744.92
  5. Step 5: Solve for x
    x = 31,674,705,744.92/203,453.06
  6. Step 6: Final answer
    x = 155,685.57

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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.