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Finding the Fourth Proportional to 71,668.46, 98,916.19 and 47,469.71

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Solution

The fourth proportional to 71,668.46, 98,916.19 and 47,469.71 is: 65,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668.46 : 98,916.19 = 47,469.71 : x
  2. Step 2: Convert to fraction form
    71,668.46/98,916.19 = 47,469.71/x
  3. Step 3: Cross multiply
    71,668.46x = 98,916.19 × 47,469.71
  4. Step 4: Simplify right side
    71,668.46x = 4,695,522,982.22
  5. Step 5: Solve for x
    x = 4,695,522,982.22/71,668.46
  6. Step 6: Final answer
    x = 65,517.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.