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Finding the Fourth Proportional to 77,834.26, 107,391.46 and 47,608.54

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Solution

The fourth proportional to 77,834.26, 107,391.46 and 47,608.54 is: 65,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,834.26 : 107,391.46 = 47,608.54 : x
  2. Step 2: Convert to fraction form
    77,834.26/107,391.46 = 47,608.54/x
  3. Step 3: Cross multiply
    77,834.26x = 107,391.46 × 47,608.54
  4. Step 4: Simplify right side
    77,834.26x = 5,112,750,619.07
  5. Step 5: Solve for x
    x = 5,112,750,619.07/77,834.26
  6. Step 6: Final answer
    x = 65,687.66

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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.