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Finding the Fourth Proportional to 57,824, 79,797.12 and 31,328

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Solution

The fourth proportional to 57,824, 79,797.12 and 31,328 is: 43,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824 : 79,797.12 = 31,328 : x
  2. Step 2: Convert to fraction form
    57,824/79,797.12 = 31,328/x
  3. Step 3: Cross multiply
    57,824x = 79,797.12 × 31,328
  4. Step 4: Simplify right side
    57,824x = 2,499,884,175.36
  5. Step 5: Solve for x
    x = 2,499,884,175.36/57,824
  6. Step 6: Final answer
    x = 43,232.64

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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.