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Finding the Fourth Proportional to 140,644.40, 194,081.76 and 76,969.88

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Solution

The fourth proportional to 140,644.40, 194,081.76 and 76,969.88 is: 106,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,644.40 : 194,081.76 = 76,969.88 : x
  2. Step 2: Convert to fraction form
    140,644.40/194,081.76 = 76,969.88/x
  3. Step 3: Cross multiply
    140,644.40x = 194,081.76 × 76,969.88
  4. Step 4: Simplify right side
    140,644.40x = 14,938,449,777.39
  5. Step 5: Solve for x
    x = 14,938,449,777.39/140,644.40
  6. Step 6: Final answer
    x = 106,214.32

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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.