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Finding the Fourth Proportional to 189,489, 284,194.32 and 71,157.72

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Solution

The fourth proportional to 189,489, 284,194.32 and 71,157.72 is: 106,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,489 : 284,194.32 = 71,157.72 : x
  2. Step 2: Convert to fraction form
    189,489/284,194.32 = 71,157.72/x
  3. Step 3: Cross multiply
    189,489x = 284,194.32 × 71,157.72
  4. Step 4: Simplify right side
    189,489x = 20,222,619,848.15
  5. Step 5: Solve for x
    x = 20,222,619,848.15/189,489
  6. Step 6: Final answer
    x = 106,721.87

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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.