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Finding the Fourth Proportional to 78,212.97, 107,940.14 and 44,228.61

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Solution

The fourth proportional to 78,212.97, 107,940.14 and 44,228.61 is: 61,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.97 : 107,940.14 = 44,228.61 : x
  2. Step 2: Convert to fraction form
    78,212.97/107,940.14 = 44,228.61/x
  3. Step 3: Cross multiply
    78,212.97x = 107,940.14 × 44,228.61
  4. Step 4: Simplify right side
    78,212.97x = 4,774,042,134.26
  5. Step 5: Solve for x
    x = 4,774,042,134.26/78,212.97
  6. Step 6: Final answer
    x = 61,039.01

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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.