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Finding the Fourth Proportional to 143,095.59, 197,481.11 and 82,668.78

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Solution

The fourth proportional to 143,095.59, 197,481.11 and 82,668.78 is: 114,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,095.59 : 197,481.11 = 82,668.78 : x
  2. Step 2: Convert to fraction form
    143,095.59/197,481.11 = 82,668.78/x
  3. Step 3: Cross multiply
    143,095.59x = 197,481.11 × 82,668.78
  4. Step 4: Simplify right side
    143,095.59x = 16,325,522,023.40
  5. Step 5: Solve for x
    x = 16,325,522,023.40/143,095.59
  6. Step 6: Final answer
    x = 114,088.23

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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.