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Finding the Fourth Proportional to 71,085.57, 106,628.49 and 18,494.97

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Solution

The fourth proportional to 71,085.57, 106,628.49 and 18,494.97 is: 27,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.57 : 106,628.49 = 18,494.97 : x
  2. Step 2: Convert to fraction form
    71,085.57/106,628.49 = 18,494.97/x
  3. Step 3: Cross multiply
    71,085.57x = 106,628.49 × 18,494.97
  4. Step 4: Simplify right side
    71,085.57x = 1,972,090,723.70
  5. Step 5: Solve for x
    x = 1,972,090,723.70/71,085.57
  6. Step 6: Final answer
    x = 27,742.49

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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.