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Finding the Fourth Proportional to 205,723.70, 308,488.63 and 133,559.88

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Solution

The fourth proportional to 205,723.70, 308,488.63 and 133,559.88 is: 200,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,723.70 : 308,488.63 = 133,559.88 : x
  2. Step 2: Convert to fraction form
    205,723.70/308,488.63 = 133,559.88/x
  3. Step 3: Cross multiply
    205,723.70x = 308,488.63 × 133,559.88
  4. Step 4: Simplify right side
    205,723.70x = 41,201,704,404.16
  5. Step 5: Solve for x
    x = 41,201,704,404.16/205,723.70
  6. Step 6: Final answer
    x = 200,276.90

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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.