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Finding the Fourth Proportional to 71,853.92, 99,161.48 and 40,022.84

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Solution

The fourth proportional to 71,853.92, 99,161.48 and 40,022.84 is: 55,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853.92 : 99,161.48 = 40,022.84 : x
  2. Step 2: Convert to fraction form
    71,853.92/99,161.48 = 40,022.84/x
  3. Step 3: Cross multiply
    71,853.92x = 99,161.48 × 40,022.84
  4. Step 4: Simplify right side
    71,853.92x = 3,968,724,396.16
  5. Step 5: Solve for x
    x = 3,968,724,396.16/71,853.92
  6. Step 6: Final answer
    x = 55,233.24

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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.