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Finding the Fourth Proportional to 203,673, 305,409.50 and 83,708.20

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Solution

The fourth proportional to 203,673, 305,409.50 and 83,708.20 is: 125,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,673 : 305,409.50 = 83,708.20 : x
  2. Step 2: Convert to fraction form
    203,673/305,409.50 = 83,708.20/x
  3. Step 3: Cross multiply
    203,673x = 305,409.50 × 83,708.20
  4. Step 4: Simplify right side
    203,673x = 25,565,279,507.90
  5. Step 5: Solve for x
    x = 25,565,279,507.90/203,673
  6. Step 6: Final answer
    x = 125,521.20

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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.