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Finding the Fourth Proportional to 76,687.80, 105,917.79 and 51,149.82

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Solution

The fourth proportional to 76,687.80, 105,917.79 and 51,149.82 is: 70,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.80 : 105,917.79 = 51,149.82 : x
  2. Step 2: Convert to fraction form
    76,687.80/105,917.79 = 51,149.82/x
  3. Step 3: Cross multiply
    76,687.80x = 105,917.79 × 51,149.82
  4. Step 4: Simplify right side
    76,687.80x = 5,417,675,893.30
  5. Step 5: Solve for x
    x = 5,417,675,893.30/76,687.80
  6. Step 6: Final answer
    x = 70,645.86

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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.