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Finding the Fourth Proportional to 82,869, 114,359.24 and 45,143.24

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Solution

The fourth proportional to 82,869, 114,359.24 and 45,143.24 is: 62,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,869 : 114,359.24 = 45,143.24 : x
  2. Step 2: Convert to fraction form
    82,869/114,359.24 = 45,143.24/x
  3. Step 3: Cross multiply
    82,869x = 114,359.24 × 45,143.24
  4. Step 4: Simplify right side
    82,869x = 5,162,546,617.54
  5. Step 5: Solve for x
    x = 5,162,546,617.54/82,869
  6. Step 6: Final answer
    x = 62,297.68

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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.