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Finding the Fourth Proportional to 81,502.60, 122,253.90 and 78,550.15

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Solution

The fourth proportional to 81,502.60, 122,253.90 and 78,550.15 is: 117,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.60 : 122,253.90 = 78,550.15 : x
  2. Step 2: Convert to fraction form
    81,502.60/122,253.90 = 78,550.15/x
  3. Step 3: Cross multiply
    81,502.60x = 122,253.90 × 78,550.15
  4. Step 4: Simplify right side
    81,502.60x = 9,603,062,183.09
  5. Step 5: Solve for x
    x = 9,603,062,183.09/81,502.60
  6. Step 6: Final answer
    x = 117,825.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.