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Finding the Fourth Proportional to 135,843.16, 187,464.22 and 84,885.48

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Solution

The fourth proportional to 135,843.16, 187,464.22 and 84,885.48 is: 117,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,843.16 : 187,464.22 = 84,885.48 : x
  2. Step 2: Convert to fraction form
    135,843.16/187,464.22 = 84,885.48/x
  3. Step 3: Cross multiply
    135,843.16x = 187,464.22 × 84,885.48
  4. Step 4: Simplify right side
    135,843.16x = 15,912,990,297.53
  5. Step 5: Solve for x
    x = 15,912,990,297.53/135,843.16
  6. Step 6: Final answer
    x = 117,142.37

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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.