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Finding the Fourth Proportional to 54,978.03, 82,411.56 and 21,679.74

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Solution

The fourth proportional to 54,978.03, 82,411.56 and 21,679.74 is: 32,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.03 : 82,411.56 = 21,679.74 : x
  2. Step 2: Convert to fraction form
    54,978.03/82,411.56 = 21,679.74/x
  3. Step 3: Cross multiply
    54,978.03x = 82,411.56 × 21,679.74
  4. Step 4: Simplify right side
    54,978.03x = 1,786,661,193.79
  5. Step 5: Solve for x
    x = 1,786,661,193.79/54,978.03
  6. Step 6: Final answer
    x = 32,497.73

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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.