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Finding the Fourth Proportional to 219,106.52, 328,659.78 and 71,362.52

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Solution

The fourth proportional to 219,106.52, 328,659.78 and 71,362.52 is: 107,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,106.52 : 328,659.78 = 71,362.52 : x
  2. Step 2: Convert to fraction form
    219,106.52/328,659.78 = 71,362.52/x
  3. Step 3: Cross multiply
    219,106.52x = 328,659.78 × 71,362.52
  4. Step 4: Simplify right side
    219,106.52x = 23,453,990,123.45
  5. Step 5: Solve for x
    x = 23,453,990,123.45/219,106.52
  6. Step 6: Final answer
    x = 107,043.78

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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.