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Finding the Fourth Proportional to 73,000.64, 109,486.32 and 20,396

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Solution

The fourth proportional to 73,000.64, 109,486.32 and 20,396 is: 30,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000.64 : 109,486.32 = 20,396 : x
  2. Step 2: Convert to fraction form
    73,000.64/109,486.32 = 20,396/x
  3. Step 3: Cross multiply
    73,000.64x = 109,486.32 × 20,396
  4. Step 4: Simplify right side
    73,000.64x = 2,233,082,982.72
  5. Step 5: Solve for x
    x = 2,233,082,982.72/73,000.64
  6. Step 6: Final answer
    x = 30,589.91

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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.