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Finding the Fourth Proportional to 81,090.96, 111,958.18 and 72,578.32

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Solution

The fourth proportional to 81,090.96, 111,958.18 and 72,578.32 is: 100,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,090.96 : 111,958.18 = 72,578.32 : x
  2. Step 2: Convert to fraction form
    81,090.96/111,958.18 = 72,578.32/x
  3. Step 3: Cross multiply
    81,090.96x = 111,958.18 × 72,578.32
  4. Step 4: Simplify right side
    81,090.96x = 8,125,735,691.98
  5. Step 5: Solve for x
    x = 8,125,735,691.98/81,090.96
  6. Step 6: Final answer
    x = 100,205.20

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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.