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Finding the Fourth Proportional to 77,097.99, 115,751.88 and 43,387.83

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Solution

The fourth proportional to 77,097.99, 115,751.88 and 43,387.83 is: 65,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.99 : 115,751.88 = 43,387.83 : x
  2. Step 2: Convert to fraction form
    77,097.99/115,751.88 = 43,387.83/x
  3. Step 3: Cross multiply
    77,097.99x = 115,751.88 × 43,387.83
  4. Step 4: Simplify right side
    77,097.99x = 5,022,222,891.62
  5. Step 5: Solve for x
    x = 5,022,222,891.62/77,097.99
  6. Step 6: Final answer
    x = 65,140.78

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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.