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Finding the Fourth Proportional to 57,321.75, 79,108.74 and 31,829.70

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Solution

The fourth proportional to 57,321.75, 79,108.74 and 31,829.70 is: 43,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321.75 : 79,108.74 = 31,829.70 : x
  2. Step 2: Convert to fraction form
    57,321.75/79,108.74 = 31,829.70/x
  3. Step 3: Cross multiply
    57,321.75x = 79,108.74 × 31,829.70
  4. Step 4: Simplify right side
    57,321.75x = 2,518,007,461.58
  5. Step 5: Solve for x
    x = 2,518,007,461.58/57,321.75
  6. Step 6: Final answer
    x = 43,927.61

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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.