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Finding the Fourth Proportional to 52,025.72, 78,042 and 18,287.64

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Solution

The fourth proportional to 52,025.72, 78,042 and 18,287.64 is: 27,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,025.72 : 78,042 = 18,287.64 : x
  2. Step 2: Convert to fraction form
    52,025.72/78,042 = 18,287.64/x
  3. Step 3: Cross multiply
    52,025.72x = 78,042 × 18,287.64
  4. Step 4: Simplify right side
    52,025.72x = 1,427,204,000.88
  5. Step 5: Solve for x
    x = 1,427,204,000.88/52,025.72
  6. Step 6: Final answer
    x = 27,432.66

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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.