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Finding the Fourth Proportional to 198,198, 273,513.24 and 118,710

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Solution

The fourth proportional to 198,198, 273,513.24 and 118,710 is: 163,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,198 : 273,513.24 = 118,710 : x
  2. Step 2: Convert to fraction form
    198,198/273,513.24 = 118,710/x
  3. Step 3: Cross multiply
    198,198x = 273,513.24 × 118,710
  4. Step 4: Simplify right side
    198,198x = 32,468,756,720.40
  5. Step 5: Solve for x
    x = 32,468,756,720.40/198,198
  6. Step 6: Final answer
    x = 163,819.80

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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.