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Finding the Fourth Proportional to 57,786.30, 86,679.45 and 31,542.30

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Solution

The fourth proportional to 57,786.30, 86,679.45 and 31,542.30 is: 47,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.30 : 86,679.45 = 31,542.30 : x
  2. Step 2: Convert to fraction form
    57,786.30/86,679.45 = 31,542.30/x
  3. Step 3: Cross multiply
    57,786.30x = 86,679.45 × 31,542.30
  4. Step 4: Simplify right side
    57,786.30x = 2,734,069,215.74
  5. Step 5: Solve for x
    x = 2,734,069,215.74/57,786.30
  6. Step 6: Final answer
    x = 47,313.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.