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Finding the Fourth Proportional to 77,779, 107,329.46 and 43,785.73

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Solution

The fourth proportional to 77,779, 107,329.46 and 43,785.73 is: 60,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779 : 107,329.46 = 43,785.73 : x
  2. Step 2: Convert to fraction form
    77,779/107,329.46 = 43,785.73/x
  3. Step 3: Cross multiply
    77,779x = 107,329.46 × 43,785.73
  4. Step 4: Simplify right side
    77,779x = 4,699,498,756.61
  5. Step 5: Solve for x
    x = 4,699,498,756.61/77,779
  6. Step 6: Final answer
    x = 60,421.18

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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.