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Finding the Fourth Proportional to 135,847, 187,460.22 and 75,418.84

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Solution

The fourth proportional to 135,847, 187,460.22 and 75,418.84 is: 104,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,847 : 187,460.22 = 75,418.84 : x
  2. Step 2: Convert to fraction form
    135,847/187,460.22 = 75,418.84/x
  3. Step 3: Cross multiply
    135,847x = 187,460.22 × 75,418.84
  4. Step 4: Simplify right side
    135,847x = 14,138,032,338.54
  5. Step 5: Solve for x
    x = 14,138,032,338.54/135,847
  6. Step 6: Final answer
    x = 104,073.20

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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.