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Finding the Fourth Proportional to 54,901.96, 82,396.68 and 21,630.40

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Solution

The fourth proportional to 54,901.96, 82,396.68 and 21,630.40 is: 32,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.96 : 82,396.68 = 21,630.40 : x
  2. Step 2: Convert to fraction form
    54,901.96/82,396.68 = 21,630.40/x
  3. Step 3: Cross multiply
    54,901.96x = 82,396.68 × 21,630.40
  4. Step 4: Simplify right side
    54,901.96x = 1,782,273,147.07
  5. Step 5: Solve for x
    x = 1,782,273,147.07/54,901.96
  6. Step 6: Final answer
    x = 32,462.83

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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.