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Finding the Fourth Proportional to 189,416.44, 284,170.38 and 71,089

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Solution

The fourth proportional to 189,416.44, 284,170.38 and 71,089 is: 106,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,416.44 : 284,170.38 = 71,089 : x
  2. Step 2: Convert to fraction form
    189,416.44/284,170.38 = 71,089/x
  3. Step 3: Cross multiply
    189,416.44x = 284,170.38 × 71,089
  4. Step 4: Simplify right side
    189,416.44x = 20,201,388,143.82
  5. Step 5: Solve for x
    x = 20,201,388,143.82/189,416.44
  6. Step 6: Final answer
    x = 106,650.66

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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.