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Finding the Fourth Proportional to 72,633.09, 108,955.91 and 20,042.57

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Solution

The fourth proportional to 72,633.09, 108,955.91 and 20,042.57 is: 30,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633.09 : 108,955.91 = 20,042.57 : x
  2. Step 2: Convert to fraction form
    72,633.09/108,955.91 = 20,042.57/x
  3. Step 3: Cross multiply
    72,633.09x = 108,955.91 × 20,042.57
  4. Step 4: Simplify right side
    72,633.09x = 2,183,756,719.22
  5. Step 5: Solve for x
    x = 2,183,756,719.22/72,633.09
  6. Step 6: Final answer
    x = 30,065.59

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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.