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Finding the Fourth Proportional to 196,821.70, 295,232.55 and 78,577.90

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Solution

The fourth proportional to 196,821.70, 295,232.55 and 78,577.90 is: 117,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821.70 : 295,232.55 = 78,577.90 : x
  2. Step 2: Convert to fraction form
    196,821.70/295,232.55 = 78,577.90/x
  3. Step 3: Cross multiply
    196,821.70x = 295,232.55 × 78,577.90
  4. Step 4: Simplify right side
    196,821.70x = 23,198,753,790.65
  5. Step 5: Solve for x
    x = 23,198,753,790.65/196,821.70
  6. Step 6: Final answer
    x = 117,866.85

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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.