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Finding the Fourth Proportional to 198,567.70, 274,063.28 and 117,979.71

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Solution

The fourth proportional to 198,567.70, 274,063.28 and 117,979.71 is: 162,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,567.70 : 274,063.28 = 117,979.71 : x
  2. Step 2: Convert to fraction form
    198,567.70/274,063.28 = 117,979.71/x
  3. Step 3: Cross multiply
    198,567.70x = 274,063.28 × 117,979.71
  4. Step 4: Simplify right side
    198,567.70x = 32,333,906,296.05
  5. Step 5: Solve for x
    x = 32,333,906,296.05/198,567.70
  6. Step 6: Final answer
    x = 162,835.68

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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.