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Finding the Fourth Proportional to 203,630.25, 305,453.61 and 96,959.34

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Solution

The fourth proportional to 203,630.25, 305,453.61 and 96,959.34 is: 145,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,630.25 : 305,453.61 = 96,959.34 : x
  2. Step 2: Convert to fraction form
    203,630.25/305,453.61 = 96,959.34/x
  3. Step 3: Cross multiply
    203,630.25x = 305,453.61 × 96,959.34
  4. Step 4: Simplify right side
    203,630.25x = 29,616,580,426.22
  5. Step 5: Solve for x
    x = 29,616,580,426.22/203,630.25
  6. Step 6: Final answer
    x = 145,442.93

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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.