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Finding the Fourth Proportional to 57,434, 79,257.48 and 31,940.40

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Solution

The fourth proportional to 57,434, 79,257.48 and 31,940.40 is: 44,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434 : 79,257.48 = 31,940.40 : x
  2. Step 2: Convert to fraction form
    57,434/79,257.48 = 31,940.40/x
  3. Step 3: Cross multiply
    57,434x = 79,257.48 × 31,940.40
  4. Step 4: Simplify right side
    57,434x = 2,531,515,614.19
  5. Step 5: Solve for x
    x = 2,531,515,614.19/57,434
  6. Step 6: Final answer
    x = 44,076.95

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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.