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Finding the Fourth Proportional to 203,676.52, 305,475.22 and 102,447.58

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Solution

The fourth proportional to 203,676.52, 305,475.22 and 102,447.58 is: 153,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,676.52 : 305,475.22 = 102,447.58 : x
  2. Step 2: Convert to fraction form
    203,676.52/305,475.22 = 102,447.58/x
  3. Step 3: Cross multiply
    203,676.52x = 305,475.22 × 102,447.58
  4. Step 4: Simplify right side
    203,676.52x = 31,295,197,038.97
  5. Step 5: Solve for x
    x = 31,295,197,038.97/203,676.52
  6. Step 6: Final answer
    x = 153,651.47

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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.