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Finding the Fourth Proportional to 140,650.88, 194,098.50 and 76,992.76

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Solution

The fourth proportional to 140,650.88, 194,098.50 and 76,992.76 is: 106,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,650.88 : 194,098.50 = 76,992.76 : x
  2. Step 2: Convert to fraction form
    140,650.88/194,098.50 = 76,992.76/x
  3. Step 3: Cross multiply
    140,650.88x = 194,098.50 × 76,992.76
  4. Step 4: Simplify right side
    140,650.88x = 14,944,179,226.86
  5. Step 5: Solve for x
    x = 14,944,179,226.86/140,650.88
  6. Step 6: Final answer
    x = 106,250.17

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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.