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Finding the Fourth Proportional to 71,969.72, 107,928.66 and 30,419.96

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Solution

The fourth proportional to 71,969.72, 107,928.66 and 30,419.96 is: 45,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969.72 : 107,928.66 = 30,419.96 : x
  2. Step 2: Convert to fraction form
    71,969.72/107,928.66 = 30,419.96/x
  3. Step 3: Cross multiply
    71,969.72x = 107,928.66 × 30,419.96
  4. Step 4: Simplify right side
    71,969.72x = 3,283,185,520.05
  5. Step 5: Solve for x
    x = 3,283,185,520.05/71,969.72
  6. Step 6: Final answer
    x = 45,618.98

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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.