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Finding the Fourth Proportional to 189,942.62, 284,978.96 and 71,647.79

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Solution

The fourth proportional to 189,942.62, 284,978.96 and 71,647.79 is: 107,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,942.62 : 284,978.96 = 71,647.79 : x
  2. Step 2: Convert to fraction form
    189,942.62/284,978.96 = 71,647.79/x
  3. Step 3: Cross multiply
    189,942.62x = 284,978.96 × 71,647.79
  4. Step 4: Simplify right side
    189,942.62x = 20,418,112,322.26
  5. Step 5: Solve for x
    x = 20,418,112,322.26/189,942.62
  6. Step 6: Final answer
    x = 107,496.21

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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.