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Finding the Fourth Proportional to 172,012.76, 257,999.09 and 45,662.82

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Solution

The fourth proportional to 172,012.76, 257,999.09 and 45,662.82 is: 68,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.76 : 257,999.09 = 45,662.82 : x
  2. Step 2: Convert to fraction form
    172,012.76/257,999.09 = 45,662.82/x
  3. Step 3: Cross multiply
    172,012.76x = 257,999.09 × 45,662.82
  4. Step 4: Simplify right side
    172,012.76x = 11,780,965,778.52
  5. Step 5: Solve for x
    x = 11,780,965,778.52/172,012.76
  6. Step 6: Final answer
    x = 68,488.91

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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.