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Finding the Fourth Proportional to 189,956.40, 284,704.20 and 84,663.60

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Solution

The fourth proportional to 189,956.40, 284,704.20 and 84,663.60 is: 126,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,956.40 : 284,704.20 = 84,663.60 : x
  2. Step 2: Convert to fraction form
    189,956.40/284,704.20 = 84,663.60/x
  3. Step 3: Cross multiply
    189,956.40x = 284,704.20 × 84,663.60
  4. Step 4: Simplify right side
    189,956.40x = 24,104,082,507.12
  5. Step 5: Solve for x
    x = 24,104,082,507.12/189,956.40
  6. Step 6: Final answer
    x = 126,892.71

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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.