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Finding the Fourth Proportional to 189,765.60, 284,429.28 and 71,361.42

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Solution

The fourth proportional to 189,765.60, 284,429.28 and 71,361.42 is: 106,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,765.60 : 284,429.28 = 71,361.42 : x
  2. Step 2: Convert to fraction form
    189,765.60/284,429.28 = 71,361.42/x
  3. Step 3: Cross multiply
    189,765.60x = 284,429.28 × 71,361.42
  4. Step 4: Simplify right side
    189,765.60x = 20,297,277,310.38
  5. Step 5: Solve for x
    x = 20,297,277,310.38/189,765.60
  6. Step 6: Final answer
    x = 106,959.73

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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.