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Finding the Fourth Proportional to 71,378.75, 107,047.31 and 23,988.49

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Solution

The fourth proportional to 71,378.75, 107,047.31 and 23,988.49 is: 35,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.75 : 107,047.31 = 23,988.49 : x
  2. Step 2: Convert to fraction form
    71,378.75/107,047.31 = 23,988.49/x
  3. Step 3: Cross multiply
    71,378.75x = 107,047.31 × 23,988.49
  4. Step 4: Simplify right side
    71,378.75x = 2,567,902,937.90
  5. Step 5: Solve for x
    x = 2,567,902,937.90/71,378.75
  6. Step 6: Final answer
    x = 35,975.73

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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.