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Finding the Fourth Proportional to 140,645.70, 194,092.20 and 76,984.02

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Solution

The fourth proportional to 140,645.70, 194,092.20 and 76,984.02 is: 106,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,645.70 : 194,092.20 = 76,984.02 : x
  2. Step 2: Convert to fraction form
    140,645.70/194,092.20 = 76,984.02/x
  3. Step 3: Cross multiply
    140,645.70x = 194,092.20 × 76,984.02
  4. Step 4: Simplify right side
    140,645.70x = 14,941,997,806.64
  5. Step 5: Solve for x
    x = 14,941,997,806.64/140,645.70
  6. Step 6: Final answer
    x = 106,238.57

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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.