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Finding the Fourth Proportional to 214,384.92, 321,578.52 and 87,992.52

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Solution

The fourth proportional to 214,384.92, 321,578.52 and 87,992.52 is: 131,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.92 : 321,578.52 = 87,992.52 : x
  2. Step 2: Convert to fraction form
    214,384.92/321,578.52 = 87,992.52/x
  3. Step 3: Cross multiply
    214,384.92x = 321,578.52 × 87,992.52
  4. Step 4: Simplify right side
    214,384.92x = 28,296,504,352.67
  5. Step 5: Solve for x
    x = 28,296,504,352.67/214,384.92
  6. Step 6: Final answer
    x = 131,989.25

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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.