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Finding the Fourth Proportional to 81,872.87, 112,984.11 and 46,063.13

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Solution

The fourth proportional to 81,872.87, 112,984.11 and 46,063.13 is: 63,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.87 : 112,984.11 = 46,063.13 : x
  2. Step 2: Convert to fraction form
    81,872.87/112,984.11 = 46,063.13/x
  3. Step 3: Cross multiply
    81,872.87x = 112,984.11 × 46,063.13
  4. Step 4: Simplify right side
    81,872.87x = 5,204,401,181.94
  5. Step 5: Solve for x
    x = 5,204,401,181.94/81,872.87
  6. Step 6: Final answer
    x = 63,566.86

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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.