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Finding the Fourth Proportional to 57,992, 80,029.28 and 31,496

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Solution

The fourth proportional to 57,992, 80,029.28 and 31,496 is: 43,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,992 : 80,029.28 = 31,496 : x
  2. Step 2: Convert to fraction form
    57,992/80,029.28 = 31,496/x
  3. Step 3: Cross multiply
    57,992x = 80,029.28 × 31,496
  4. Step 4: Simplify right side
    57,992x = 2,520,602,202.88
  5. Step 5: Solve for x
    x = 2,520,602,202.88/57,992
  6. Step 6: Final answer
    x = 43,464.65

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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.