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Finding the Fourth Proportional to 84,519.57, 126,843.63 and 31,261.94

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Solution

The fourth proportional to 84,519.57, 126,843.63 and 31,261.94 is: 46,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519.57 : 126,843.63 = 31,261.94 : x
  2. Step 2: Convert to fraction form
    84,519.57/126,843.63 = 31,261.94/x
  3. Step 3: Cross multiply
    84,519.57x = 126,843.63 × 31,261.94
  4. Step 4: Simplify right side
    84,519.57x = 3,965,377,950.44
  5. Step 5: Solve for x
    x = 3,965,377,950.44/84,519.57
  6. Step 6: Final answer
    x = 46,916.68

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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.