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Finding the Fourth Proportional to 205,722.54, 308,608.50 and 72,575.34

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Solution

The fourth proportional to 205,722.54, 308,608.50 and 72,575.34 is: 108,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.54 : 308,608.50 = 72,575.34 : x
  2. Step 2: Convert to fraction form
    205,722.54/308,608.50 = 72,575.34/x
  3. Step 3: Cross multiply
    205,722.54x = 308,608.50 × 72,575.34
  4. Step 4: Simplify right side
    205,722.54x = 22,397,366,814.39
  5. Step 5: Solve for x
    x = 22,397,366,814.39/205,722.54
  6. Step 6: Final answer
    x = 108,871.72

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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.