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Finding the Fourth Proportional to 140,658.75, 194,101.62 and 76,984.23

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Solution

The fourth proportional to 140,658.75, 194,101.62 and 76,984.23 is: 106,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.75 : 194,101.62 = 76,984.23 : x
  2. Step 2: Convert to fraction form
    140,658.75/194,101.62 = 76,984.23/x
  3. Step 3: Cross multiply
    140,658.75x = 194,101.62 × 76,984.23
  4. Step 4: Simplify right side
    140,658.75x = 14,942,763,757.45
  5. Step 5: Solve for x
    x = 14,942,763,757.45/140,658.75
  6. Step 6: Final answer
    x = 106,234.16

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1.5x scale

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.