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Finding the Fourth Proportional to 189,900.08, 284,849.76 and 71,597.96

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Solution

The fourth proportional to 189,900.08, 284,849.76 and 71,597.96 is: 107,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.08 : 284,849.76 = 71,597.96 : x
  2. Step 2: Convert to fraction form
    189,900.08/284,849.76 = 71,597.96/x
  3. Step 3: Cross multiply
    189,900.08x = 284,849.76 × 71,597.96
  4. Step 4: Simplify right side
    189,900.08x = 20,394,661,722.49
  5. Step 5: Solve for x
    x = 20,394,661,722.49/189,900.08
  6. Step 6: Final answer
    x = 107,396.80

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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.