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Finding the Fourth Proportional to 219,409.74, 328,865.73 and 100,836

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Solution

The fourth proportional to 219,409.74, 328,865.73 and 100,836 is: 151,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.74 : 328,865.73 = 100,836 : x
  2. Step 2: Convert to fraction form
    219,409.74/328,865.73 = 100,836/x
  3. Step 3: Cross multiply
    219,409.74x = 328,865.73 × 100,836
  4. Step 4: Simplify right side
    219,409.74x = 33,161,504,750.28
  5. Step 5: Solve for x
    x = 33,161,504,750.28/219,409.74
  6. Step 6: Final answer
    x = 151,139.62

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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.