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Finding the Fourth Proportional to 72,326.31, 108,506.65 and 30,182.97

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Solution

The fourth proportional to 72,326.31, 108,506.65 and 30,182.97 is: 45,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326.31 : 108,506.65 = 30,182.97 : x
  2. Step 2: Convert to fraction form
    72,326.31/108,506.65 = 30,182.97/x
  3. Step 3: Cross multiply
    72,326.31x = 108,506.65 × 30,182.97
  4. Step 4: Simplify right side
    72,326.31x = 3,275,052,961.75
  5. Step 5: Solve for x
    x = 3,275,052,961.75/72,326.31
  6. Step 6: Final answer
    x = 45,281.63

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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.