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Finding the Fourth Proportional to 203,956.66, 305,829.92 and 91,540.49

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Solution

The fourth proportional to 203,956.66, 305,829.92 and 91,540.49 is: 137,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,956.66 : 305,829.92 = 91,540.49 : x
  2. Step 2: Convert to fraction form
    203,956.66/305,829.92 = 91,540.49/x
  3. Step 3: Cross multiply
    203,956.66x = 305,829.92 × 91,540.49
  4. Step 4: Simplify right side
    203,956.66x = 27,995,821,726.89
  5. Step 5: Solve for x
    x = 27,995,821,726.89/203,956.66
  6. Step 6: Final answer
    x = 137,263.58

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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.