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Finding the Fourth Proportional to 135,408.30, 186,805.56 and 81,662.76

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Solution

The fourth proportional to 135,408.30, 186,805.56 and 81,662.76 is: 112,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408.30 : 186,805.56 = 81,662.76 : x
  2. Step 2: Convert to fraction form
    135,408.30/186,805.56 = 81,662.76/x
  3. Step 3: Cross multiply
    135,408.30x = 186,805.56 × 81,662.76
  4. Step 4: Simplify right side
    135,408.30x = 15,255,057,612.95
  5. Step 5: Solve for x
    x = 15,255,057,612.95/135,408.30
  6. Step 6: Final answer
    x = 112,659.69

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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.