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Finding the Fourth Proportional to 54,002.10, 80,978.85 and 20,711.10

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Solution

The fourth proportional to 54,002.10, 80,978.85 and 20,711.10 is: 31,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002.10 : 80,978.85 = 20,711.10 : x
  2. Step 2: Convert to fraction form
    54,002.10/80,978.85 = 20,711.10/x
  3. Step 3: Cross multiply
    54,002.10x = 80,978.85 × 20,711.10
  4. Step 4: Simplify right side
    54,002.10x = 1,677,161,060.24
  5. Step 5: Solve for x
    x = 1,677,161,060.24/54,002.10
  6. Step 6: Final answer
    x = 31,057.33

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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.