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Finding the Fourth Proportional to 71,409, 98,542.24 and 39,142.92

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Solution

The fourth proportional to 71,409, 98,542.24 and 39,142.92 is: 54,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409 : 98,542.24 = 39,142.92 : x
  2. Step 2: Convert to fraction form
    71,409/98,542.24 = 39,142.92/x
  3. Step 3: Cross multiply
    71,409x = 98,542.24 × 39,142.92
  4. Step 4: Simplify right side
    71,409x = 3,857,231,016.94
  5. Step 5: Solve for x
    x = 3,857,231,016.94/71,409
  6. Step 6: Final answer
    x = 54,016.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.