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Finding the Fourth Proportional to 73,049.72, 109,578.74 and 20,463.30

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Solution

The fourth proportional to 73,049.72, 109,578.74 and 20,463.30 is: 30,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,049.72 : 109,578.74 = 20,463.30 : x
  2. Step 2: Convert to fraction form
    73,049.72/109,578.74 = 20,463.30/x
  3. Step 3: Cross multiply
    73,049.72x = 109,578.74 × 20,463.30
  4. Step 4: Simplify right side
    73,049.72x = 2,242,342,527.93
  5. Step 5: Solve for x
    x = 2,242,342,527.93/73,049.72
  6. Step 6: Final answer
    x = 30,696.12

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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.