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Finding the Fourth Proportional to 140,656.43, 194,107.71 and 76,992.86

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Solution

The fourth proportional to 140,656.43, 194,107.71 and 76,992.86 is: 106,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656.43 : 194,107.71 = 76,992.86 : x
  2. Step 2: Convert to fraction form
    140,656.43/194,107.71 = 76,992.86/x
  3. Step 3: Cross multiply
    140,656.43x = 194,107.71 × 76,992.86
  4. Step 4: Simplify right side
    140,656.43x = 14,944,907,740.95
  5. Step 5: Solve for x
    x = 14,944,907,740.95/140,656.43
  6. Step 6: Final answer
    x = 106,251.15

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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.