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Finding the Fourth Proportional to 72,514.50, 108,771.75 and 25,769.22

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Solution

The fourth proportional to 72,514.50, 108,771.75 and 25,769.22 is: 38,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,514.50 : 108,771.75 = 25,769.22 : x
  2. Step 2: Convert to fraction form
    72,514.50/108,771.75 = 25,769.22/x
  3. Step 3: Cross multiply
    72,514.50x = 108,771.75 × 25,769.22
  4. Step 4: Simplify right side
    72,514.50x = 2,802,963,155.54
  5. Step 5: Solve for x
    x = 2,802,963,155.54/72,514.50
  6. Step 6: Final answer
    x = 38,653.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.