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Finding the Fourth Proportional to 135,468.50, 186,949.31 and 81,076.91

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Solution

The fourth proportional to 135,468.50, 186,949.31 and 81,076.91 is: 111,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.50 : 186,949.31 = 81,076.91 : x
  2. Step 2: Convert to fraction form
    135,468.50/186,949.31 = 81,076.91/x
  3. Step 3: Cross multiply
    135,468.50x = 186,949.31 × 81,076.91
  4. Step 4: Simplify right side
    135,468.50x = 15,157,271,041.30
  5. Step 5: Solve for x
    x = 15,157,271,041.30/135,468.50
  6. Step 6: Final answer
    x = 111,887.79

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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.