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Finding the Fourth Proportional to 75,732.48, 114,007.68 and 68,112

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Solution

The fourth proportional to 75,732.48, 114,007.68 and 68,112 is: 102,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732.48 : 114,007.68 = 68,112 : x
  2. Step 2: Convert to fraction form
    75,732.48/114,007.68 = 68,112/x
  3. Step 3: Cross multiply
    75,732.48x = 114,007.68 × 68,112
  4. Step 4: Simplify right side
    75,732.48x = 7,765,291,100.16
  5. Step 5: Solve for x
    x = 7,765,291,100.16/75,732.48
  6. Step 6: Final answer
    x = 102,535.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.