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Finding the Fourth Proportional to 71,912.16, 107,802 and 30,336.48

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Solution

The fourth proportional to 71,912.16, 107,802 and 30,336.48 is: 45,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,912.16 : 107,802 = 30,336.48 : x
  2. Step 2: Convert to fraction form
    71,912.16/107,802 = 30,336.48/x
  3. Step 3: Cross multiply
    71,912.16x = 107,802 × 30,336.48
  4. Step 4: Simplify right side
    71,912.16x = 3,270,333,216.96
  5. Step 5: Solve for x
    x = 3,270,333,216.96/71,912.16
  6. Step 6: Final answer
    x = 45,476.78

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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.