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Finding the Fourth Proportional to 100,684.62, 138,945.30 and 55,365.54

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Solution

The fourth proportional to 100,684.62, 138,945.30 and 55,365.54 is: 76,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.62 : 138,945.30 = 55,365.54 : x
  2. Step 2: Convert to fraction form
    100,684.62/138,945.30 = 55,365.54/x
  3. Step 3: Cross multiply
    100,684.62x = 138,945.30 × 55,365.54
  4. Step 4: Simplify right side
    100,684.62x = 7,692,781,564.96
  5. Step 5: Solve for x
    x = 7,692,781,564.96/100,684.62
  6. Step 6: Final answer
    x = 76,404.73

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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.