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Finding the Fourth Proportional to 219,682.52, 329,520.69 and 86,563.93

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Solution

The fourth proportional to 219,682.52, 329,520.69 and 86,563.93 is: 129,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,682.52 : 329,520.69 = 86,563.93 : x
  2. Step 2: Convert to fraction form
    219,682.52/329,520.69 = 86,563.93/x
  3. Step 3: Cross multiply
    219,682.52x = 329,520.69 × 86,563.93
  4. Step 4: Simplify right side
    219,682.52x = 28,524,605,443.52
  5. Step 5: Solve for x
    x = 28,524,605,443.52/219,682.52
  6. Step 6: Final answer
    x = 129,844.68

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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.