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Finding the Fourth Proportional to 54,720.30, 82,019.70 and 21,429.30

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Solution

The fourth proportional to 54,720.30, 82,019.70 and 21,429.30 is: 32,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720.30 : 82,019.70 = 21,429.30 : x
  2. Step 2: Convert to fraction form
    54,720.30/82,019.70 = 21,429.30/x
  3. Step 3: Cross multiply
    54,720.30x = 82,019.70 × 21,429.30
  4. Step 4: Simplify right side
    54,720.30x = 1,757,624,757.21
  5. Step 5: Solve for x
    x = 1,757,624,757.21/54,720.30
  6. Step 6: Final answer
    x = 32,120.16

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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.