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Finding the Fourth Proportional to 83,383.86, 115,087.59 and 53,162.22

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Solution

The fourth proportional to 83,383.86, 115,087.59 and 53,162.22 is: 73,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,383.86 : 115,087.59 = 53,162.22 : x
  2. Step 2: Convert to fraction form
    83,383.86/115,087.59 = 53,162.22/x
  3. Step 3: Cross multiply
    83,383.86x = 115,087.59 × 53,162.22
  4. Step 4: Simplify right side
    83,383.86x = 6,118,311,778.85
  5. Step 5: Solve for x
    x = 6,118,311,778.85/83,383.86
  6. Step 6: Final answer
    x = 73,375.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.