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Finding the Fourth Proportional to 82,610.20, 114,020.31 and 54,318.52

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Solution

The fourth proportional to 82,610.20, 114,020.31 and 54,318.52 is: 74,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,610.20 : 114,020.31 = 54,318.52 : x
  2. Step 2: Convert to fraction form
    82,610.20/114,020.31 = 54,318.52/x
  3. Step 3: Cross multiply
    82,610.20x = 114,020.31 × 54,318.52
  4. Step 4: Simplify right side
    82,610.20x = 6,193,414,489.14
  5. Step 5: Solve for x
    x = 6,193,414,489.14/82,610.20
  6. Step 6: Final answer
    x = 74,971.55

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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.