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Finding the Fourth Proportional to 203,569.32, 305,206.38 and 136,843.96

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Solution

The fourth proportional to 203,569.32, 305,206.38 and 136,843.96 is: 205,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,569.32 : 305,206.38 = 136,843.96 : x
  2. Step 2: Convert to fraction form
    203,569.32/305,206.38 = 136,843.96/x
  3. Step 3: Cross multiply
    203,569.32x = 305,206.38 × 136,843.96
  4. Step 4: Simplify right side
    203,569.32x = 41,765,649,656.46
  5. Step 5: Solve for x
    x = 41,765,649,656.46/203,569.32
  6. Step 6: Final answer
    x = 205,166.72

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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.