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Finding the Fourth Proportional to 219,029.01, 328,542.57 and 85,815.20

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Solution

The fourth proportional to 219,029.01, 328,542.57 and 85,815.20 is: 128,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,029.01 : 328,542.57 = 85,815.20 : x
  2. Step 2: Convert to fraction form
    219,029.01/328,542.57 = 85,815.20/x
  3. Step 3: Cross multiply
    219,029.01x = 328,542.57 × 85,815.20
  4. Step 4: Simplify right side
    219,029.01x = 28,193,944,710.35
  5. Step 5: Solve for x
    x = 28,193,944,710.35/219,029.01
  6. Step 6: Final answer
    x = 128,722.42

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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.