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Finding the Fourth Proportional to 143,042.94, 197,379.11 and 85,668.82

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Solution

The fourth proportional to 143,042.94, 197,379.11 and 85,668.82 is: 118,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,042.94 : 197,379.11 = 85,668.82 : x
  2. Step 2: Convert to fraction form
    143,042.94/197,379.11 = 85,668.82/x
  3. Step 3: Cross multiply
    143,042.94x = 197,379.11 × 85,668.82
  4. Step 4: Simplify right side
    143,042.94x = 16,909,234,524.56
  5. Step 5: Solve for x
    x = 16,909,234,524.56/143,042.94
  6. Step 6: Final answer
    x = 118,210.90

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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.