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Finding the Fourth Proportional to 208,744.43, 312,758.77 and 140,227.57

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Solution

The fourth proportional to 208,744.43, 312,758.77 and 140,227.57 is: 210,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744.43 : 312,758.77 = 140,227.57 : x
  2. Step 2: Convert to fraction form
    208,744.43/312,758.77 = 140,227.57/x
  3. Step 3: Cross multiply
    208,744.43x = 312,758.77 × 140,227.57
  4. Step 4: Simplify right side
    208,744.43x = 43,857,402,960.28
  5. Step 5: Solve for x
    x = 43,857,402,960.28/208,744.43
  6. Step 6: Final answer
    x = 210,100.95

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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.