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Finding the Fourth Proportional to 204,782.12, 307,311.52 and 71,663.54

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Solution

The fourth proportional to 204,782.12, 307,311.52 and 71,663.54 is: 107,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782.12 : 307,311.52 = 71,663.54 : x
  2. Step 2: Convert to fraction form
    204,782.12/307,311.52 = 71,663.54/x
  3. Step 3: Cross multiply
    204,782.12x = 307,311.52 × 71,663.54
  4. Step 4: Simplify right side
    204,782.12x = 22,023,029,824.63
  5. Step 5: Solve for x
    x = 22,023,029,824.63/204,782.12
  6. Step 6: Final answer
    x = 107,543.71

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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.