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Finding the Fourth Proportional to 189,765.54, 284,694.96 and 133,715.04

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Solution

The fourth proportional to 189,765.54, 284,694.96 and 133,715.04 is: 200,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,765.54 : 284,694.96 = 133,715.04 : x
  2. Step 2: Convert to fraction form
    189,765.54/284,694.96 = 133,715.04/x
  3. Step 3: Cross multiply
    189,765.54x = 284,694.96 × 133,715.04
  4. Step 4: Simplify right side
    189,765.54x = 38,067,997,964.20
  5. Step 5: Solve for x
    x = 38,067,997,964.20/189,765.54
  6. Step 6: Final answer
    x = 200,605.43

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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.