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Finding the Fourth Proportional to 189,591.18, 284,168.04 and 71,187

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Solution

The fourth proportional to 189,591.18, 284,168.04 and 71,187 is: 106,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,591.18 : 284,168.04 = 71,187 : x
  2. Step 2: Convert to fraction form
    189,591.18/284,168.04 = 71,187/x
  3. Step 3: Cross multiply
    189,591.18x = 284,168.04 × 71,187
  4. Step 4: Simplify right side
    189,591.18x = 20,229,070,263.48
  5. Step 5: Solve for x
    x = 20,229,070,263.48/189,591.18
  6. Step 6: Final answer
    x = 106,698.37

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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.