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Finding the Fourth Proportional to 71,707.24, 98,947.97 and 39,874.24

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Solution

The fourth proportional to 71,707.24, 98,947.97 and 39,874.24 is: 55,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.24 : 98,947.97 = 39,874.24 : x
  2. Step 2: Convert to fraction form
    71,707.24/98,947.97 = 39,874.24/x
  3. Step 3: Cross multiply
    71,707.24x = 98,947.97 × 39,874.24
  4. Step 4: Simplify right side
    71,707.24x = 3,945,475,103.29
  5. Step 5: Solve for x
    x = 3,945,475,103.29/71,707.24
  6. Step 6: Final answer
    x = 55,021.99

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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.