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Finding the Fourth Proportional to 71,918.28, 107,877.42 and 45,567.56

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Solution

The fourth proportional to 71,918.28, 107,877.42 and 45,567.56 is: 68,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,918.28 : 107,877.42 = 45,567.56 : x
  2. Step 2: Convert to fraction form
    71,918.28/107,877.42 = 45,567.56/x
  3. Step 3: Cross multiply
    71,918.28x = 107,877.42 × 45,567.56
  4. Step 4: Simplify right side
    71,918.28x = 4,915,711,078.19
  5. Step 5: Solve for x
    x = 4,915,711,078.19/71,918.28
  6. Step 6: Final answer
    x = 68,351.34

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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.