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Finding the Fourth Proportional to 203,498.96, 305,244.80 and 83,529.86

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Solution

The fourth proportional to 203,498.96, 305,244.80 and 83,529.86 is: 125,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.96 : 305,244.80 = 83,529.86 : x
  2. Step 2: Convert to fraction form
    203,498.96/305,244.80 = 83,529.86/x
  3. Step 3: Cross multiply
    203,498.96x = 305,244.80 × 83,529.86
  4. Step 4: Simplify right side
    203,498.96x = 25,497,055,409.73
  5. Step 5: Solve for x
    x = 25,497,055,409.73/203,498.96
  6. Step 6: Final answer
    x = 125,293.30

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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.