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Finding the Fourth Proportional to 189,874.27, 284,643.79 and 71,628.65

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Solution

The fourth proportional to 189,874.27, 284,643.79 and 71,628.65 is: 107,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.27 : 284,643.79 = 71,628.65 : x
  2. Step 2: Convert to fraction form
    189,874.27/284,643.79 = 71,628.65/x
  3. Step 3: Cross multiply
    189,874.27x = 284,643.79 × 71,628.65
  4. Step 4: Simplify right side
    189,874.27x = 20,388,648,627.22
  5. Step 5: Solve for x
    x = 20,388,648,627.22/189,874.27
  6. Step 6: Final answer
    x = 107,379.74

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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.