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Finding the Fourth Proportional to 77,199.80, 115,805.10 and 32,821.52

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Solution

The fourth proportional to 77,199.80, 115,805.10 and 32,821.52 is: 49,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,199.80 : 115,805.10 = 32,821.52 : x
  2. Step 2: Convert to fraction form
    77,199.80/115,805.10 = 32,821.52/x
  3. Step 3: Cross multiply
    77,199.80x = 115,805.10 × 32,821.52
  4. Step 4: Simplify right side
    77,199.80x = 3,800,899,405.75
  5. Step 5: Solve for x
    x = 3,800,899,405.75/77,199.80
  6. Step 6: Final answer
    x = 49,234.58

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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.