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Finding the Fourth Proportional to 198,197.76, 297,342.03 and 85,896.81

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Solution

The fourth proportional to 198,197.76, 297,342.03 and 85,896.81 is: 128,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,197.76 : 297,342.03 = 85,896.81 : x
  2. Step 2: Convert to fraction form
    198,197.76/297,342.03 = 85,896.81/x
  3. Step 3: Cross multiply
    198,197.76x = 297,342.03 × 85,896.81
  4. Step 4: Simplify right side
    198,197.76x = 25,540,731,855.92
  5. Step 5: Solve for x
    x = 25,540,731,855.92/198,197.76
  6. Step 6: Final answer
    x = 128,864.89

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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.