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Finding the Fourth Proportional to 54,704.85, 82,082.79 and 21,416.28

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Solution

The fourth proportional to 54,704.85, 82,082.79 and 21,416.28 is: 32,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704.85 : 82,082.79 = 21,416.28 : x
  2. Step 2: Convert to fraction form
    54,704.85/82,082.79 = 21,416.28/x
  3. Step 3: Cross multiply
    54,704.85x = 82,082.79 × 21,416.28
  4. Step 4: Simplify right side
    54,704.85x = 1,757,908,013.82
  5. Step 5: Solve for x
    x = 1,757,908,013.82/54,704.85
  6. Step 6: Final answer
    x = 32,134.41

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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.