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Finding the Fourth Proportional to 57,751, 79,696.38 and 31,255

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Solution

The fourth proportional to 57,751, 79,696.38 and 31,255 is: 43,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,751 : 79,696.38 = 31,255 : x
  2. Step 2: Convert to fraction form
    57,751/79,696.38 = 31,255/x
  3. Step 3: Cross multiply
    57,751x = 79,696.38 × 31,255
  4. Step 4: Simplify right side
    57,751x = 2,490,910,356.90
  5. Step 5: Solve for x
    x = 2,490,910,356.90/57,751
  6. Step 6: Final answer
    x = 43,131.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.