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Finding the Fourth Proportional to 54,650.64, 81,978.91 and 17,213.65

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Solution

The fourth proportional to 54,650.64, 81,978.91 and 17,213.65 is: 25,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650.64 : 81,978.91 = 17,213.65 : x
  2. Step 2: Convert to fraction form
    54,650.64/81,978.91 = 17,213.65/x
  3. Step 3: Cross multiply
    54,650.64x = 81,978.91 × 17,213.65
  4. Step 4: Simplify right side
    54,650.64x = 1,411,156,016.14
  5. Step 5: Solve for x
    x = 1,411,156,016.14/54,650.64
  6. Step 6: Final answer
    x = 25,821.40

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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.