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Finding the Fourth Proportional to 52,175.40, 78,234.30 and 20,975.40

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Solution

The fourth proportional to 52,175.40, 78,234.30 and 20,975.40 is: 31,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,175.40 : 78,234.30 = 20,975.40 : x
  2. Step 2: Convert to fraction form
    52,175.40/78,234.30 = 20,975.40/x
  3. Step 3: Cross multiply
    52,175.40x = 78,234.30 × 20,975.40
  4. Step 4: Simplify right side
    52,175.40x = 1,640,995,736.22
  5. Step 5: Solve for x
    x = 1,640,995,736.22/52,175.40
  6. Step 6: Final answer
    x = 31,451.52

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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.