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Finding the Fourth Proportional to 198,364.73, 297,590.83 and 65,239.61

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Solution

The fourth proportional to 198,364.73, 297,590.83 and 65,239.61 is: 97,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,364.73 : 297,590.83 = 65,239.61 : x
  2. Step 2: Convert to fraction form
    198,364.73/297,590.83 = 65,239.61/x
  3. Step 3: Cross multiply
    198,364.73x = 297,590.83 × 65,239.61
  4. Step 4: Simplify right side
    198,364.73x = 19,414,708,037.72
  5. Step 5: Solve for x
    x = 19,414,708,037.72/198,364.73
  6. Step 6: Final answer
    x = 97,873.79

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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.