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Finding the Fourth Proportional to 57,057.88, 78,732.90 and 31,562.48

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Solution

The fourth proportional to 57,057.88, 78,732.90 and 31,562.48 is: 43,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.88 : 78,732.90 = 31,562.48 : x
  2. Step 2: Convert to fraction form
    57,057.88/78,732.90 = 31,562.48/x
  3. Step 3: Cross multiply
    57,057.88x = 78,732.90 × 31,562.48
  4. Step 4: Simplify right side
    57,057.88x = 2,485,005,581.59
  5. Step 5: Solve for x
    x = 2,485,005,581.59/57,057.88
  6. Step 6: Final answer
    x = 43,552.36

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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.