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Finding the Fourth Proportional to 72,961.04, 109,431.75 and 20,375.84

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Solution

The fourth proportional to 72,961.04, 109,431.75 and 20,375.84 is: 30,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,961.04 : 109,431.75 = 20,375.84 : x
  2. Step 2: Convert to fraction form
    72,961.04/109,431.75 = 20,375.84/x
  3. Step 3: Cross multiply
    72,961.04x = 109,431.75 × 20,375.84
  4. Step 4: Simplify right side
    72,961.04x = 2,229,763,828.92
  5. Step 5: Solve for x
    x = 2,229,763,828.92/72,961.04
  6. Step 6: Final answer
    x = 30,561.02

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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.