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Finding the Fourth Proportional to 203,785.46, 305,346.15 and 124,733.78

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Solution

The fourth proportional to 203,785.46, 305,346.15 and 124,733.78 is: 186,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,785.46 : 305,346.15 = 124,733.78 : x
  2. Step 2: Convert to fraction form
    203,785.46/305,346.15 = 124,733.78/x
  3. Step 3: Cross multiply
    203,785.46x = 305,346.15 × 124,733.78
  4. Step 4: Simplify right side
    203,785.46x = 38,086,979,497.95
  5. Step 5: Solve for x
    x = 38,086,979,497.95/203,785.46
  6. Step 6: Final answer
    x = 186,897.43

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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.