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Finding the Fourth Proportional to 135,490.80, 186,974.78 and 81,778.08

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Solution

The fourth proportional to 135,490.80, 186,974.78 and 81,778.08 is: 112,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,490.80 : 186,974.78 = 81,778.08 : x
  2. Step 2: Convert to fraction form
    135,490.80/186,974.78 = 81,778.08/x
  3. Step 3: Cross multiply
    135,490.80x = 186,974.78 × 81,778.08
  4. Step 4: Simplify right side
    135,490.80x = 15,290,438,107.93
  5. Step 5: Solve for x
    x = 15,290,438,107.93/135,490.80
  6. Step 6: Final answer
    x = 112,852.22

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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.