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Finding the Fourth Proportional to 140,760.40, 194,250 and 77,098

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Solution

The fourth proportional to 140,760.40, 194,250 and 77,098 is: 106,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,760.40 : 194,250 = 77,098 : x
  2. Step 2: Convert to fraction form
    140,760.40/194,250 = 77,098/x
  3. Step 3: Cross multiply
    140,760.40x = 194,250 × 77,098
  4. Step 4: Simplify right side
    140,760.40x = 14,976,286,500
  5. Step 5: Solve for x
    x = 14,976,286,500/140,760.40
  6. Step 6: Final answer
    x = 106,395.59

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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.