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Finding the Fourth Proportional to 81,975, 122,991.66 and 40,451.16

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Solution

The fourth proportional to 81,975, 122,991.66 and 40,451.16 is: 60,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,975 : 122,991.66 = 40,451.16 : x
  2. Step 2: Convert to fraction form
    81,975/122,991.66 = 40,451.16/x
  3. Step 3: Cross multiply
    81,975x = 122,991.66 × 40,451.16
  4. Step 4: Simplify right side
    81,975x = 4,975,155,317.33
  5. Step 5: Solve for x
    x = 4,975,155,317.33/81,975
  6. Step 6: Final answer
    x = 60,691.13

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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.