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Finding the Fourth Proportional to 205,874.84, 308,666.46 and 79,408.73

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Solution

The fourth proportional to 205,874.84, 308,666.46 and 79,408.73 is: 119,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.84 : 308,666.46 = 79,408.73 : x
  2. Step 2: Convert to fraction form
    205,874.84/308,666.46 = 79,408.73/x
  3. Step 3: Cross multiply
    205,874.84x = 308,666.46 × 79,408.73
  4. Step 4: Simplify right side
    205,874.84x = 24,510,811,582.20
  5. Step 5: Solve for x
    x = 24,510,811,582.20/205,874.84
  6. Step 6: Final answer
    x = 119,056.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.