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Finding the Fourth Proportional to 78,743.73, 118,164.81 and 31,996.61

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Solution

The fourth proportional to 78,743.73, 118,164.81 and 31,996.61 is: 48,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,743.73 : 118,164.81 = 31,996.61 : x
  2. Step 2: Convert to fraction form
    78,743.73/118,164.81 = 31,996.61/x
  3. Step 3: Cross multiply
    78,743.73x = 118,164.81 × 31,996.61
  4. Step 4: Simplify right side
    78,743.73x = 3,780,873,341.29
  5. Step 5: Solve for x
    x = 3,780,873,341.29/78,743.73
  6. Step 6: Final answer
    x = 48,014.91

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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.