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Finding the Fourth Proportional to 188,081.79, 282,144.09 and 68,195.20

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Solution

The fourth proportional to 188,081.79, 282,144.09 and 68,195.20 is: 102,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,081.79 : 282,144.09 = 68,195.20 : x
  2. Step 2: Convert to fraction form
    188,081.79/282,144.09 = 68,195.20/x
  3. Step 3: Cross multiply
    188,081.79x = 282,144.09 × 68,195.20
  4. Step 4: Simplify right side
    188,081.79x = 19,240,872,646.37
  5. Step 5: Solve for x
    x = 19,240,872,646.37/188,081.79
  6. Step 6: Final answer
    x = 102,300.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.