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Finding the Fourth Proportional to 197,578.86, 272,658.87 and 108,154.86

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Solution

The fourth proportional to 197,578.86, 272,658.87 and 108,154.86 is: 149,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,578.86 : 272,658.87 = 108,154.86 : x
  2. Step 2: Convert to fraction form
    197,578.86/272,658.87 = 108,154.86/x
  3. Step 3: Cross multiply
    197,578.86x = 272,658.87 × 108,154.86
  4. Step 4: Simplify right side
    197,578.86x = 29,489,381,912.61
  5. Step 5: Solve for x
    x = 29,489,381,912.61/197,578.86
  6. Step 6: Final answer
    x = 149,253.73

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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.