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Finding the Fourth Proportional to 203,230, 280,453.60 and 112,583.96

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Solution

The fourth proportional to 203,230, 280,453.60 and 112,583.96 is: 155,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,230 : 280,453.60 = 112,583.96 : x
  2. Step 2: Convert to fraction form
    203,230/280,453.60 = 112,583.96/x
  3. Step 3: Cross multiply
    203,230x = 280,453.60 × 112,583.96
  4. Step 4: Simplify right side
    203,230x = 31,574,576,884.26
  5. Step 5: Solve for x
    x = 31,574,576,884.26/203,230
  6. Step 6: Final answer
    x = 155,363.76

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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.