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Finding the Fourth Proportional to 198,195, 273,509.10 and 118,707

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Solution

The fourth proportional to 198,195, 273,509.10 and 118,707 is: 163,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,195 : 273,509.10 = 118,707 : x
  2. Step 2: Convert to fraction form
    198,195/273,509.10 = 118,707/x
  3. Step 3: Cross multiply
    198,195x = 273,509.10 × 118,707
  4. Step 4: Simplify right side
    198,195x = 32,467,444,733.70
  5. Step 5: Solve for x
    x = 32,467,444,733.70/198,195
  6. Step 6: Final answer
    x = 163,815.66

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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.