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Finding the Fourth Proportional to 188,080.79, 282,142.59 and 68,194.20

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Solution

The fourth proportional to 188,080.79, 282,142.59 and 68,194.20 is: 102,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,080.79 : 282,142.59 = 68,194.20 : x
  2. Step 2: Convert to fraction form
    188,080.79/282,142.59 = 68,194.20/x
  3. Step 3: Cross multiply
    188,080.79x = 282,142.59 × 68,194.20
  4. Step 4: Simplify right side
    188,080.79x = 19,240,487,834.62
  5. Step 5: Solve for x
    x = 19,240,487,834.62/188,080.79
  6. Step 6: Final answer
    x = 102,299.06

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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.