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Finding the Fourth Proportional to 57,733, 79,671.78 and 31,237

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Solution

The fourth proportional to 57,733, 79,671.78 and 31,237 is: 43,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733 : 79,671.78 = 31,237 : x
  2. Step 2: Convert to fraction form
    57,733/79,671.78 = 31,237/x
  3. Step 3: Cross multiply
    57,733x = 79,671.78 × 31,237
  4. Step 4: Simplify right side
    57,733x = 2,488,707,391.86
  5. Step 5: Solve for x
    x = 2,488,707,391.86/57,733
  6. Step 6: Final answer
    x = 43,107.19

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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.