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Finding the Fourth Proportional to 78,379.26, 108,162.42 and 44,386.80

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Solution

The fourth proportional to 78,379.26, 108,162.42 and 44,386.80 is: 61,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.26 : 108,162.42 = 44,386.80 : x
  2. Step 2: Convert to fraction form
    78,379.26/108,162.42 = 44,386.80/x
  3. Step 3: Cross multiply
    78,379.26x = 108,162.42 × 44,386.80
  4. Step 4: Simplify right side
    78,379.26x = 4,800,983,704.06
  5. Step 5: Solve for x
    x = 4,800,983,704.06/78,379.26
  6. Step 6: Final answer
    x = 61,253.24

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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.