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Finding the Fourth Proportional to 78,682.80, 118,073.41 and 31,935.68

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Solution

The fourth proportional to 78,682.80, 118,073.41 and 31,935.68 is: 47,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.80 : 118,073.41 = 31,935.68 : x
  2. Step 2: Convert to fraction form
    78,682.80/118,073.41 = 31,935.68/x
  3. Step 3: Cross multiply
    78,682.80x = 118,073.41 × 31,935.68
  4. Step 4: Simplify right side
    78,682.80x = 3,770,753,968.06
  5. Step 5: Solve for x
    x = 3,770,753,968.06/78,682.80
  6. Step 6: Final answer
    x = 47,923.48

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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.