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Finding the Fourth Proportional to 82,500.32, 113,791.62 and 75,716.20

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Solution

The fourth proportional to 82,500.32, 113,791.62 and 75,716.20 is: 104,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.32 : 113,791.62 = 75,716.20 : x
  2. Step 2: Convert to fraction form
    82,500.32/113,791.62 = 75,716.20/x
  3. Step 3: Cross multiply
    82,500.32x = 113,791.62 × 75,716.20
  4. Step 4: Simplify right side
    82,500.32x = 8,615,869,058.24
  5. Step 5: Solve for x
    x = 8,615,869,058.24/82,500.32
  6. Step 6: Final answer
    x = 104,434.37

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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.