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Finding the Fourth Proportional to 102,131.80, 140,842.92 and 68,141.68

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Solution

The fourth proportional to 102,131.80, 140,842.92 and 68,141.68 is: 93,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,131.80 : 140,842.92 = 68,141.68 : x
  2. Step 2: Convert to fraction form
    102,131.80/140,842.92 = 68,141.68/x
  3. Step 3: Cross multiply
    102,131.80x = 140,842.92 × 68,141.68
  4. Step 4: Simplify right side
    102,131.80x = 9,597,273,184.91
  5. Step 5: Solve for x
    x = 9,597,273,184.91/102,131.80
  6. Step 6: Final answer
    x = 93,969.49

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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.