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Finding the Fourth Proportional to 72,805.68, 109,234.80 and 25,427.75

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Solution

The fourth proportional to 72,805.68, 109,234.80 and 25,427.75 is: 38,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.68 : 109,234.80 = 25,427.75 : x
  2. Step 2: Convert to fraction form
    72,805.68/109,234.80 = 25,427.75/x
  3. Step 3: Cross multiply
    72,805.68x = 109,234.80 × 25,427.75
  4. Step 4: Simplify right side
    72,805.68x = 2,777,595,185.70
  5. Step 5: Solve for x
    x = 2,777,595,185.70/72,805.68
  6. Step 6: Final answer
    x = 38,150.80

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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.