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Finding the Fourth Proportional to 197,183.80, 295,689.30 and 78,815.80

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Solution

The fourth proportional to 197,183.80, 295,689.30 and 78,815.80 is: 118,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,183.80 : 295,689.30 = 78,815.80 : x
  2. Step 2: Convert to fraction form
    197,183.80/295,689.30 = 78,815.80/x
  3. Step 3: Cross multiply
    197,183.80x = 295,689.30 × 78,815.80
  4. Step 4: Simplify right side
    197,183.80x = 23,304,988,730.94
  5. Step 5: Solve for x
    x = 23,304,988,730.94/197,183.80
  6. Step 6: Final answer
    x = 118,189.17

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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.