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Finding the Fourth Proportional to 76,879.87, 106,092.39 and 42,891.64

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Solution

The fourth proportional to 76,879.87, 106,092.39 and 42,891.64 is: 59,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.87 : 106,092.39 = 42,891.64 : x
  2. Step 2: Convert to fraction form
    76,879.87/106,092.39 = 42,891.64/x
  3. Step 3: Cross multiply
    76,879.87x = 106,092.39 × 42,891.64
  4. Step 4: Simplify right side
    76,879.87x = 4,550,476,598.62
  5. Step 5: Solve for x
    x = 4,550,476,598.62/76,879.87
  6. Step 6: Final answer
    x = 59,189.44

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1.5x scale

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.