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Finding the Fourth Proportional to 219,011.88, 328,517.82 and 85,954.80

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Solution

The fourth proportional to 219,011.88, 328,517.82 and 85,954.80 is: 128,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,011.88 : 328,517.82 = 85,954.80 : x
  2. Step 2: Convert to fraction form
    219,011.88/328,517.82 = 85,954.80/x
  3. Step 3: Cross multiply
    219,011.88x = 328,517.82 × 85,954.80
  4. Step 4: Simplify right side
    219,011.88x = 28,237,683,514.54
  5. Step 5: Solve for x
    x = 28,237,683,514.54/219,011.88
  6. Step 6: Final answer
    x = 128,932.20

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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.