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Finding the Fourth Proportional to 135,486.54, 186,977.97 and 81,770.58

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Solution

The fourth proportional to 135,486.54, 186,977.97 and 81,770.58 is: 112,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,486.54 : 186,977.97 = 81,770.58 : x
  2. Step 2: Convert to fraction form
    135,486.54/186,977.97 = 81,770.58/x
  3. Step 3: Cross multiply
    135,486.54x = 186,977.97 × 81,770.58
  4. Step 4: Simplify right side
    135,486.54x = 15,289,297,054.12
  5. Step 5: Solve for x
    x = 15,289,297,054.12/135,486.54
  6. Step 6: Final answer
    x = 112,847.35

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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.