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Finding the Fourth Proportional to 47,668.43, 71,512.92 and 14,385.71

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Solution

The fourth proportional to 47,668.43, 71,512.92 and 14,385.71 is: 21,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.43 : 71,512.92 = 14,385.71 : x
  2. Step 2: Convert to fraction form
    47,668.43/71,512.92 = 14,385.71/x
  3. Step 3: Cross multiply
    47,668.43x = 71,512.92 × 14,385.71
  4. Step 4: Simplify right side
    47,668.43x = 1,028,764,128.37
  5. Step 5: Solve for x
    x = 1,028,764,128.37/47,668.43
  6. Step 6: Final answer
    x = 21,581.67

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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.