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Finding the Fourth Proportional to 219,318.92, 328,835.82 and 86,212.20

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Solution

The fourth proportional to 219,318.92, 328,835.82 and 86,212.20 is: 129,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,318.92 : 328,835.82 = 86,212.20 : x
  2. Step 2: Convert to fraction form
    219,318.92/328,835.82 = 86,212.20/x
  3. Step 3: Cross multiply
    219,318.92x = 328,835.82 × 86,212.20
  4. Step 4: Simplify right side
    219,318.92x = 28,349,659,481.00
  5. Step 5: Solve for x
    x = 28,349,659,481.00/219,318.92
  6. Step 6: Final answer
    x = 129,262.26

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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.