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Finding the Fourth Proportional to 189,123.78, 283,796.22 and 104,954.64

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Solution

The fourth proportional to 189,123.78, 283,796.22 and 104,954.64 is: 157,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,123.78 : 283,796.22 = 104,954.64 : x
  2. Step 2: Convert to fraction form
    189,123.78/283,796.22 = 104,954.64/x
  3. Step 3: Cross multiply
    189,123.78x = 283,796.22 × 104,954.64
  4. Step 4: Simplify right side
    189,123.78x = 29,785,730,103.46
  5. Step 5: Solve for x
    x = 29,785,730,103.46/189,123.78
  6. Step 6: Final answer
    x = 157,493.31

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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.