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Finding the Fourth Proportional to 71,843.97, 107,740.02 and 30,294.21

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Solution

The fourth proportional to 71,843.97, 107,740.02 and 30,294.21 is: 45,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.97 : 107,740.02 = 30,294.21 : x
  2. Step 2: Convert to fraction form
    71,843.97/107,740.02 = 30,294.21/x
  3. Step 3: Cross multiply
    71,843.97x = 107,740.02 × 30,294.21
  4. Step 4: Simplify right side
    71,843.97x = 3,263,898,791.28
  5. Step 5: Solve for x
    x = 3,263,898,791.28/71,843.97
  6. Step 6: Final answer
    x = 45,430.38

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1.5x scale

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.