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Finding the Fourth Proportional to 76,751.10, 105,859.94 and 51,245.21

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Solution

The fourth proportional to 76,751.10, 105,859.94 and 51,245.21 is: 70,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.10 : 105,859.94 = 51,245.21 : x
  2. Step 2: Convert to fraction form
    76,751.10/105,859.94 = 51,245.21/x
  3. Step 3: Cross multiply
    76,751.10x = 105,859.94 × 51,245.21
  4. Step 4: Simplify right side
    76,751.10x = 5,424,814,864.31
  5. Step 5: Solve for x
    x = 5,424,814,864.31/76,751.10
  6. Step 6: Final answer
    x = 70,680.61

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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.