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Finding the Fourth Proportional to 205,722.70, 308,487.13 and 133,558.88

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Solution

The fourth proportional to 205,722.70, 308,487.13 and 133,558.88 is: 200,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.70 : 308,487.13 = 133,558.88 : x
  2. Step 2: Convert to fraction form
    205,722.70/308,487.13 = 133,558.88/x
  3. Step 3: Cross multiply
    205,722.70x = 308,487.13 × 133,558.88
  4. Step 4: Simplify right side
    205,722.70x = 41,201,193,700.88
  5. Step 5: Solve for x
    x = 41,201,193,700.88/205,722.70
  6. Step 6: Final answer
    x = 200,275.39

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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.