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Finding the Fourth Proportional to 78,147.75, 117,241.07 and 22,743.75

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Solution

The fourth proportional to 78,147.75, 117,241.07 and 22,743.75 is: 34,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.75 : 117,241.07 = 22,743.75 : x
  2. Step 2: Convert to fraction form
    78,147.75/117,241.07 = 22,743.75/x
  3. Step 3: Cross multiply
    78,147.75x = 117,241.07 × 22,743.75
  4. Step 4: Simplify right side
    78,147.75x = 2,666,501,472.09
  5. Step 5: Solve for x
    x = 2,666,501,472.09/78,147.75
  6. Step 6: Final answer
    x = 34,121.28

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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.