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Finding the Fourth Proportional to 140,203.38, 193,457.82 and 82,834.78

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Solution

The fourth proportional to 140,203.38, 193,457.82 and 82,834.78 is: 114,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.38 : 193,457.82 = 82,834.78 : x
  2. Step 2: Convert to fraction form
    140,203.38/193,457.82 = 82,834.78/x
  3. Step 3: Cross multiply
    140,203.38x = 193,457.82 × 82,834.78
  4. Step 4: Simplify right side
    140,203.38x = 16,025,035,958.98
  5. Step 5: Solve for x
    x = 16,025,035,958.98/140,203.38
  6. Step 6: Final answer
    x = 114,298.50

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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.